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Finding the Fourth Proportional to 732.62, 1,099.44 and 458.91

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Solution

The fourth proportional to 732.62, 1,099.44 and 458.91 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.62 : 1,099.44 = 458.91 : x
  2. Step 2: Convert to fraction form
    732.62/1,099.44 = 458.91/x
  3. Step 3: Cross multiply
    732.62x = 1,099.44 × 458.91
  4. Step 4: Simplify right side
    732.62x = 504,544.01
  5. Step 5: Solve for x
    x = 504,544.01/732.62
  6. Step 6: Final answer
    x = 688.68

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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.