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Finding the Fourth Proportional to 753.82, 1,132.98 and 624.66

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Solution

The fourth proportional to 753.82, 1,132.98 and 624.66 is: 938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.82 : 1,132.98 = 624.66 : x
  2. Step 2: Convert to fraction form
    753.82/1,132.98 = 624.66/x
  3. Step 3: Cross multiply
    753.82x = 1,132.98 × 624.66
  4. Step 4: Simplify right side
    753.82x = 707,727.29
  5. Step 5: Solve for x
    x = 707,727.29/753.82
  6. Step 6: Final answer
    x = 938.85

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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.