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Finding the Fourth Proportional to 691.25, 952.31 and 566.18

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Solution

The fourth proportional to 691.25, 952.31 and 566.18 is: 780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.25 : 952.31 = 566.18 : x
  2. Step 2: Convert to fraction form
    691.25/952.31 = 566.18/x
  3. Step 3: Cross multiply
    691.25x = 952.31 × 566.18
  4. Step 4: Simplify right side
    691.25x = 539,182.67
  5. Step 5: Solve for x
    x = 539,182.67/691.25
  6. Step 6: Final answer
    x = 780.01

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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.