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Finding the Fourth Proportional to 732.77, 1,098.12 and 645.92

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Solution

The fourth proportional to 732.77, 1,098.12 and 645.92 is: 967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.77 : 1,098.12 = 645.92 : x
  2. Step 2: Convert to fraction form
    732.77/1,098.12 = 645.92/x
  3. Step 3: Cross multiply
    732.77x = 1,098.12 × 645.92
  4. Step 4: Simplify right side
    732.77x = 709,297.67
  5. Step 5: Solve for x
    x = 709,297.67/732.77
  6. Step 6: Final answer
    x = 967.97

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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.