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Finding the Fourth Proportional to 732.59, 1,098.88 and 299.44

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Solution

The fourth proportional to 732.59, 1,098.88 and 299.44 is: 449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.59 : 1,098.88 = 299.44 : x
  2. Step 2: Convert to fraction form
    732.59/1,098.88 = 299.44/x
  3. Step 3: Cross multiply
    732.59x = 1,098.88 × 299.44
  4. Step 4: Simplify right side
    732.59x = 329,045.13
  5. Step 5: Solve for x
    x = 329,045.13/732.59
  6. Step 6: Final answer
    x = 449.16

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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.