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Finding the Fourth Proportional to 1,237.89, 1,707.92 and 706.75

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Solution

The fourth proportional to 1,237.89, 1,707.92 and 706.75 is: 975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.89 : 1,707.92 = 706.75 : x
  2. Step 2: Convert to fraction form
    1,237.89/1,707.92 = 706.75/x
  3. Step 3: Cross multiply
    1,237.89x = 1,707.92 × 706.75
  4. Step 4: Simplify right side
    1,237.89x = 1,207,068.93
  5. Step 5: Solve for x
    x = 1,207,068.93/1,237.89
  6. Step 6: Final answer
    x = 975.11

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,238.89, 1,709.29 and 707.75
Similar ratio
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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.