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Finding the Fourth Proportional to 817.52, 1,227.32 and 493.52

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Solution

The fourth proportional to 817.52, 1,227.32 and 493.52 is: 740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.52 : 1,227.32 = 493.52 : x
  2. Step 2: Convert to fraction form
    817.52/1,227.32 = 493.52/x
  3. Step 3: Cross multiply
    817.52x = 1,227.32 × 493.52
  4. Step 4: Simplify right side
    817.52x = 605,706.97
  5. Step 5: Solve for x
    x = 605,706.97/817.52
  6. Step 6: Final answer
    x = 740.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.