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Finding the Fourth Proportional to 932.40, 1,285.38 and 637.20

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Solution

The fourth proportional to 932.40, 1,285.38 and 637.20 is: 878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,285.38 = 637.20 : x
  2. Step 2: Convert to fraction form
    932.40/1,285.38 = 637.20/x
  3. Step 3: Cross multiply
    932.40x = 1,285.38 × 637.20
  4. Step 4: Simplify right side
    932.40x = 819,044.14
  5. Step 5: Solve for x
    x = 819,044.14/932.40
  6. Step 6: Final answer
    x = 878.43

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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.