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Finding the Fourth Proportional to 721.30, 1,076.74 and 624.44

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Solution

The fourth proportional to 721.30, 1,076.74 and 624.44 is: 932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.30 : 1,076.74 = 624.44 : x
  2. Step 2: Convert to fraction form
    721.30/1,076.74 = 624.44/x
  3. Step 3: Cross multiply
    721.30x = 1,076.74 × 624.44
  4. Step 4: Simplify right side
    721.30x = 672,359.53
  5. Step 5: Solve for x
    x = 672,359.53/721.30
  6. Step 6: Final answer
    x = 932.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.