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Finding the Fourth Proportional to 489.98, 731.47 and 472.90

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Solution

The fourth proportional to 489.98, 731.47 and 472.90 is: 705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.98 : 731.47 = 472.90 : x
  2. Step 2: Convert to fraction form
    489.98/731.47 = 472.90/x
  3. Step 3: Cross multiply
    489.98x = 731.47 × 472.90
  4. Step 4: Simplify right side
    489.98x = 345,912.16
  5. Step 5: Solve for x
    x = 345,912.16/489.98
  6. Step 6: Final answer
    x = 705.97

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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.