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Finding the Fourth Proportional to 732.36, 1,098.78 and 458.68

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Solution

The fourth proportional to 732.36, 1,098.78 and 458.68 is: 688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.36 : 1,098.78 = 458.68 : x
  2. Step 2: Convert to fraction form
    732.36/1,098.78 = 458.68/x
  3. Step 3: Cross multiply
    732.36x = 1,098.78 × 458.68
  4. Step 4: Simplify right side
    732.36x = 503,988.41
  5. Step 5: Solve for x
    x = 503,988.41/732.36
  6. Step 6: Final answer
    x = 688.17

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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.