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Finding the Fourth Proportional to 634.48, 951.14 and 537.61

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Solution

The fourth proportional to 634.48, 951.14 and 537.61 is: 805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.48 : 951.14 = 537.61 : x
  2. Step 2: Convert to fraction form
    634.48/951.14 = 537.61/x
  3. Step 3: Cross multiply
    634.48x = 951.14 × 537.61
  4. Step 4: Simplify right side
    634.48x = 511,342.38
  5. Step 5: Solve for x
    x = 511,342.38/634.48
  6. Step 6: Final answer
    x = 805.92

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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.