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Finding the Fourth Proportional to 489.97, 734.96 and 124.76

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Solution

The fourth proportional to 489.97, 734.96 and 124.76 is: 187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 734.96 = 124.76 : x
  2. Step 2: Convert to fraction form
    489.97/734.96 = 124.76/x
  3. Step 3: Cross multiply
    489.97x = 734.96 × 124.76
  4. Step 4: Simplify right side
    489.97x = 91,693.61
  5. Step 5: Solve for x
    x = 91,693.61/489.97
  6. Step 6: Final answer
    x = 187.14

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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.