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Finding the Fourth Proportional to 634.76, 876.92 and 542.46

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Solution

The fourth proportional to 634.76, 876.92 and 542.46 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.76 : 876.92 = 542.46 : x
  2. Step 2: Convert to fraction form
    634.76/876.92 = 542.46/x
  3. Step 3: Cross multiply
    634.76x = 876.92 × 542.46
  4. Step 4: Simplify right side
    634.76x = 475,694.02
  5. Step 5: Solve for x
    x = 475,694.02/634.76
  6. Step 6: Final answer
    x = 749.41

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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.