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Finding the Fourth Proportional to 932.22, 1,398.61 and 384.44

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Solution

The fourth proportional to 932.22, 1,398.61 and 384.44 is: 576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.22 : 1,398.61 = 384.44 : x
  2. Step 2: Convert to fraction form
    932.22/1,398.61 = 384.44/x
  3. Step 3: Cross multiply
    932.22x = 1,398.61 × 384.44
  4. Step 4: Simplify right side
    932.22x = 537,678.61
  5. Step 5: Solve for x
    x = 537,678.61/932.22
  6. Step 6: Final answer
    x = 576.77

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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.