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Finding the Fourth Proportional to 932.28, 1,398.11 and 384.21

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Solution

The fourth proportional to 932.28, 1,398.11 and 384.21 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.28 : 1,398.11 = 384.21 : x
  2. Step 2: Convert to fraction form
    932.28/1,398.11 = 384.21/x
  3. Step 3: Cross multiply
    932.28x = 1,398.11 × 384.21
  4. Step 4: Simplify right side
    932.28x = 537,165.92
  5. Step 5: Solve for x
    x = 537,165.92/932.28
  6. Step 6: Final answer
    x = 576.19

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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.