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Finding the Fourth Proportional to 925.52, 1,398.39 and 916.61

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Solution

The fourth proportional to 925.52, 1,398.39 and 916.61 is: 1,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.52 : 1,398.39 = 916.61 : x
  2. Step 2: Convert to fraction form
    925.52/1,398.39 = 916.61/x
  3. Step 3: Cross multiply
    925.52x = 1,398.39 × 916.61
  4. Step 4: Simplify right side
    925.52x = 1,281,767.83
  5. Step 5: Solve for x
    x = 1,281,767.83/925.52
  6. Step 6: Final answer
    x = 1,384.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.