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Finding the Fourth Proportional to 497.75, 742.01 and 489.85

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Solution

The fourth proportional to 497.75, 742.01 and 489.85 is: 730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.75 : 742.01 = 489.85 : x
  2. Step 2: Convert to fraction form
    497.75/742.01 = 489.85/x
  3. Step 3: Cross multiply
    497.75x = 742.01 × 489.85
  4. Step 4: Simplify right side
    497.75x = 363,472.05
  5. Step 5: Solve for x
    x = 363,472.05/497.75
  6. Step 6: Final answer
    x = 730.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.