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Finding the Fourth Proportional to 586.98, 876.96 and 489.78

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Solution

The fourth proportional to 586.98, 876.96 and 489.78 is: 731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 876.96 = 489.78 : x
  2. Step 2: Convert to fraction form
    586.98/876.96 = 489.78/x
  3. Step 3: Cross multiply
    586.98x = 876.96 × 489.78
  4. Step 4: Simplify right side
    586.98x = 429,517.47
  5. Step 5: Solve for x
    x = 429,517.47/586.98
  6. Step 6: Final answer
    x = 731.74

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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.