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Finding the Fourth Proportional to 489.28, 728.84 and 461.92

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Solution

The fourth proportional to 489.28, 728.84 and 461.92 is: 688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.28 : 728.84 = 461.92 : x
  2. Step 2: Convert to fraction form
    489.28/728.84 = 461.92/x
  3. Step 3: Cross multiply
    489.28x = 728.84 × 461.92
  4. Step 4: Simplify right side
    489.28x = 336,665.77
  5. Step 5: Solve for x
    x = 336,665.77/489.28
  6. Step 6: Final answer
    x = 688.08

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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.