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Finding the Fourth Proportional to 641.64, 966.34 and 565.58

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Solution

The fourth proportional to 641.64, 966.34 and 565.58 is: 851.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.64 : 966.34 = 565.58 : x
  2. Step 2: Convert to fraction form
    641.64/966.34 = 565.58/x
  3. Step 3: Cross multiply
    641.64x = 966.34 × 565.58
  4. Step 4: Simplify right side
    641.64x = 546,542.58
  5. Step 5: Solve for x
    x = 546,542.58/641.64
  6. Step 6: Final answer
    x = 851.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.