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Finding the Fourth Proportional to 489.86, 731.29 and 472.76

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Solution

The fourth proportional to 489.86, 731.29 and 472.76 is: 705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.86 : 731.29 = 472.76 : x
  2. Step 2: Convert to fraction form
    489.86/731.29 = 472.76/x
  3. Step 3: Cross multiply
    489.86x = 731.29 × 472.76
  4. Step 4: Simplify right side
    489.86x = 345,722.30
  5. Step 5: Solve for x
    x = 345,722.30/489.86
  6. Step 6: Final answer
    x = 705.76

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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.