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Finding the Fourth Proportional to 641.23, 963.15 and 565.90

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Solution

The fourth proportional to 641.23, 963.15 and 565.90 is: 850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.23 : 963.15 = 565.90 : x
  2. Step 2: Convert to fraction form
    641.23/963.15 = 565.90/x
  3. Step 3: Cross multiply
    641.23x = 963.15 × 565.90
  4. Step 4: Simplify right side
    641.23x = 545,046.59
  5. Step 5: Solve for x
    x = 545,046.59/641.23
  6. Step 6: Final answer
    x = 850.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.