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Finding the Fourth Proportional to 538.97, 742.07 and 489.70

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Solution

The fourth proportional to 538.97, 742.07 and 489.70 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.97 : 742.07 = 489.70 : x
  2. Step 2: Convert to fraction form
    538.97/742.07 = 489.70/x
  3. Step 3: Cross multiply
    538.97x = 742.07 × 489.70
  4. Step 4: Simplify right side
    538.97x = 363,386.60
  5. Step 5: Solve for x
    x = 363,386.60/538.97
  6. Step 6: Final answer
    x = 674.23

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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.