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Finding the Fourth Proportional to 641.80, 966.73 and 584.38

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Solution

The fourth proportional to 641.80, 966.73 and 584.38 is: 880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.80 : 966.73 = 584.38 : x
  2. Step 2: Convert to fraction form
    641.80/966.73 = 584.38/x
  3. Step 3: Cross multiply
    641.80x = 966.73 × 584.38
  4. Step 4: Simplify right side
    641.80x = 564,937.68
  5. Step 5: Solve for x
    x = 564,937.68/641.80
  6. Step 6: Final answer
    x = 880.24

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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.