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Finding the Fourth Proportional to 932.47, 1,398.18 and 384.20

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Solution

The fourth proportional to 932.47, 1,398.18 and 384.20 is: 576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.47 : 1,398.18 = 384.20 : x
  2. Step 2: Convert to fraction form
    932.47/1,398.18 = 384.20/x
  3. Step 3: Cross multiply
    932.47x = 1,398.18 × 384.20
  4. Step 4: Simplify right side
    932.47x = 537,180.76
  5. Step 5: Solve for x
    x = 537,180.76/932.47
  6. Step 6: Final answer
    x = 576.08

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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.