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Finding the Fourth Proportional to 731.41, 1,011.17 and 566.17

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Solution

The fourth proportional to 731.41, 1,011.17 and 566.17 is: 782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.41 : 1,011.17 = 566.17 : x
  2. Step 2: Convert to fraction form
    731.41/1,011.17 = 566.17/x
  3. Step 3: Cross multiply
    731.41x = 1,011.17 × 566.17
  4. Step 4: Simplify right side
    731.41x = 572,494.12
  5. Step 5: Solve for x
    x = 572,494.12/731.41
  6. Step 6: Final answer
    x = 782.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.