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Finding the Fourth Proportional to 634.46, 876.17 and 546.29

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Solution

The fourth proportional to 634.46, 876.17 and 546.29 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.46 : 876.17 = 546.29 : x
  2. Step 2: Convert to fraction form
    634.46/876.17 = 546.29/x
  3. Step 3: Cross multiply
    634.46x = 876.17 × 546.29
  4. Step 4: Simplify right side
    634.46x = 478,645.04
  5. Step 5: Solve for x
    x = 478,645.04/634.46
  6. Step 6: Final answer
    x = 754.42

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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.