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Finding the Fourth Proportional to 932.09, 1,398.31 and 307.42

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Solution

The fourth proportional to 932.09, 1,398.31 and 307.42 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.09 : 1,398.31 = 307.42 : x
  2. Step 2: Convert to fraction form
    932.09/1,398.31 = 307.42/x
  3. Step 3: Cross multiply
    932.09x = 1,398.31 × 307.42
  4. Step 4: Simplify right side
    932.09x = 429,867.69
  5. Step 5: Solve for x
    x = 429,867.69/932.09
  6. Step 6: Final answer
    x = 461.19

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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.