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Finding the Fourth Proportional to 732.56, 1,098.30 and 654.80

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Solution

The fourth proportional to 732.56, 1,098.30 and 654.80 is: 981.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.56 : 1,098.30 = 654.80 : x
  2. Step 2: Convert to fraction form
    732.56/1,098.30 = 654.80/x
  3. Step 3: Cross multiply
    732.56x = 1,098.30 × 654.80
  4. Step 4: Simplify right side
    732.56x = 719,166.84
  5. Step 5: Solve for x
    x = 719,166.84/732.56
  6. Step 6: Final answer
    x = 981.72

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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.