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Finding the Fourth Proportional to 938.71, 1,294.54 and 742.69

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Solution

The fourth proportional to 938.71, 1,294.54 and 742.69 is: 1,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.71 : 1,294.54 = 742.69 : x
  2. Step 2: Convert to fraction form
    938.71/1,294.54 = 742.69/x
  3. Step 3: Cross multiply
    938.71x = 1,294.54 × 742.69
  4. Step 4: Simplify right side
    938.71x = 961,441.91
  5. Step 5: Solve for x
    x = 961,441.91/938.71
  6. Step 6: Final answer
    x = 1,024.22

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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.