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Finding the Fourth Proportional to 932.91, 1,398.24 and 412.32

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Solution

The fourth proportional to 932.91, 1,398.24 and 412.32 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.91 : 1,398.24 = 412.32 : x
  2. Step 2: Convert to fraction form
    932.91/1,398.24 = 412.32/x
  3. Step 3: Cross multiply
    932.91x = 1,398.24 × 412.32
  4. Step 4: Simplify right side
    932.91x = 576,521.29
  5. Step 5: Solve for x
    x = 576,521.29/932.91
  6. Step 6: Final answer
    x = 617.98

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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.