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Finding the Fourth Proportional to 732.36, 1,102.94 and 617.52

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Solution

The fourth proportional to 732.36, 1,102.94 and 617.52 is: 929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.36 : 1,102.94 = 617.52 : x
  2. Step 2: Convert to fraction form
    732.36/1,102.94 = 617.52/x
  3. Step 3: Cross multiply
    732.36x = 1,102.94 × 617.52
  4. Step 4: Simplify right side
    732.36x = 681,084.42
  5. Step 5: Solve for x
    x = 681,084.42/732.36
  6. Step 6: Final answer
    x = 929.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.