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Finding the Fourth Proportional to 732.22, 1,098.58 and 457.98

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Solution

The fourth proportional to 732.22, 1,098.58 and 457.98 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,098.58 = 457.98 : x
  2. Step 2: Convert to fraction form
    732.22/1,098.58 = 457.98/x
  3. Step 3: Cross multiply
    732.22x = 1,098.58 × 457.98
  4. Step 4: Simplify right side
    732.22x = 503,129.44
  5. Step 5: Solve for x
    x = 503,129.44/732.22
  6. Step 6: Final answer
    x = 687.13

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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.