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Finding the Fourth Proportional to 932.11, 1,398.46 and 384.55

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Solution

The fourth proportional to 932.11, 1,398.46 and 384.55 is: 576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,398.46 = 384.55 : x
  2. Step 2: Convert to fraction form
    932.11/1,398.46 = 384.55/x
  3. Step 3: Cross multiply
    932.11x = 1,398.46 × 384.55
  4. Step 4: Simplify right side
    932.11x = 537,776.83
  5. Step 5: Solve for x
    x = 537,776.83/932.11
  6. Step 6: Final answer
    x = 576.95

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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.