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Finding the Fourth Proportional to 691.23, 952.56 and 566.49

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Solution

The fourth proportional to 691.23, 952.56 and 566.49 is: 780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 952.56 = 566.49 : x
  2. Step 2: Convert to fraction form
    691.23/952.56 = 566.49/x
  3. Step 3: Cross multiply
    691.23x = 952.56 × 566.49
  4. Step 4: Simplify right side
    691.23x = 539,619.29
  5. Step 5: Solve for x
    x = 539,619.29/691.23
  6. Step 6: Final answer
    x = 780.66

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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.