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Finding the Fourth Proportional to 732.30, 1,099.22 and 424.76

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Solution

The fourth proportional to 732.30, 1,099.22 and 424.76 is: 637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.30 : 1,099.22 = 424.76 : x
  2. Step 2: Convert to fraction form
    732.30/1,099.22 = 424.76/x
  3. Step 3: Cross multiply
    732.30x = 1,099.22 × 424.76
  4. Step 4: Simplify right side
    732.30x = 466,904.69
  5. Step 5: Solve for x
    x = 466,904.69/732.30
  6. Step 6: Final answer
    x = 637.59

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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.