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Finding the Fourth Proportional to 747.71, 1,031.72 and 687.23

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Solution

The fourth proportional to 747.71, 1,031.72 and 687.23 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.71 : 1,031.72 = 687.23 : x
  2. Step 2: Convert to fraction form
    747.71/1,031.72 = 687.23/x
  3. Step 3: Cross multiply
    747.71x = 1,031.72 × 687.23
  4. Step 4: Simplify right side
    747.71x = 709,020.34
  5. Step 5: Solve for x
    x = 709,020.34/747.71
  6. Step 6: Final answer
    x = 948.25

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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.