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Finding the Fourth Proportional to 830.76, 1,143.60 and 821.04

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Solution

The fourth proportional to 830.76, 1,143.60 and 821.04 is: 1,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,143.60 = 821.04 : x
  2. Step 2: Convert to fraction form
    830.76/1,143.60 = 821.04/x
  3. Step 3: Cross multiply
    830.76x = 1,143.60 × 821.04
  4. Step 4: Simplify right side
    830.76x = 938,941.34
  5. Step 5: Solve for x
    x = 938,941.34/830.76
  6. Step 6: Final answer
    x = 1,130.22

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Half scale
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Double scale
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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.