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Finding the Fourth Proportional to 691.56, 952.17 and 586.43

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Solution

The fourth proportional to 691.56, 952.17 and 586.43 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 952.17 = 586.43 : x
  2. Step 2: Convert to fraction form
    691.56/952.17 = 586.43/x
  3. Step 3: Cross multiply
    691.56x = 952.17 × 586.43
  4. Step 4: Simplify right side
    691.56x = 558,376.29
  5. Step 5: Solve for x
    x = 558,376.29/691.56
  6. Step 6: Final answer
    x = 807.42

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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.