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Finding the Fourth Proportional to 640.62, 966.24 and 564.53

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Solution

The fourth proportional to 640.62, 966.24 and 564.53 is: 851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.62 : 966.24 = 564.53 : x
  2. Step 2: Convert to fraction form
    640.62/966.24 = 564.53/x
  3. Step 3: Cross multiply
    640.62x = 966.24 × 564.53
  4. Step 4: Simplify right side
    640.62x = 545,471.47
  5. Step 5: Solve for x
    x = 545,471.47/640.62
  6. Step 6: Final answer
    x = 851.47

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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.