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Finding the Fourth Proportional to 494.52, 686.73 and 489.72

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Solution

The fourth proportional to 494.52, 686.73 and 489.72 is: 680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.52 : 686.73 = 489.72 : x
  2. Step 2: Convert to fraction form
    494.52/686.73 = 489.72/x
  3. Step 3: Cross multiply
    494.52x = 686.73 × 489.72
  4. Step 4: Simplify right side
    494.52x = 336,305.42
  5. Step 5: Solve for x
    x = 336,305.42/494.52
  6. Step 6: Final answer
    x = 680.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.