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Finding the Fourth Proportional to 932.40, 1,397.97 and 445.86

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Solution

The fourth proportional to 932.40, 1,397.97 and 445.86 is: 668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.40 : 1,397.97 = 445.86 : x
  2. Step 2: Convert to fraction form
    932.40/1,397.97 = 445.86/x
  3. Step 3: Cross multiply
    932.40x = 1,397.97 × 445.86
  4. Step 4: Simplify right side
    932.40x = 623,298.90
  5. Step 5: Solve for x
    x = 623,298.90/932.40
  6. Step 6: Final answer
    x = 668.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.