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Finding the Fourth Proportional to 1,706.76, 2,355.36 and 1,008.16

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Solution

The fourth proportional to 1,706.76, 2,355.36 and 1,008.16 is: 1,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.76 : 2,355.36 = 1,008.16 : x
  2. Step 2: Convert to fraction form
    1,706.76/2,355.36 = 1,008.16/x
  3. Step 3: Cross multiply
    1,706.76x = 2,355.36 × 1,008.16
  4. Step 4: Simplify right side
    1,706.76x = 2,374,579.74
  5. Step 5: Solve for x
    x = 2,374,579.74/1,706.76
  6. Step 6: Final answer
    x = 1,391.28

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Find fourth proportional to 853.38, 1,177.68 and 504.08
Half scale
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Double scale
Find fourth proportional to 1,707.76, 2,356.74 and 1,009.16
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.