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Finding the Fourth Proportional to 753.69, 1,132.80 and 624.54

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Solution

The fourth proportional to 753.69, 1,132.80 and 624.54 is: 938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.69 : 1,132.80 = 624.54 : x
  2. Step 2: Convert to fraction form
    753.69/1,132.80 = 624.54/x
  3. Step 3: Cross multiply
    753.69x = 1,132.80 × 624.54
  4. Step 4: Simplify right side
    753.69x = 707,478.91
  5. Step 5: Solve for x
    x = 707,478.91/753.69
  6. Step 6: Final answer
    x = 938.69

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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.