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Finding the Fourth Proportional to 637.23, 878.01 and 489.60

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Solution

The fourth proportional to 637.23, 878.01 and 489.60 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.23 : 878.01 = 489.60 : x
  2. Step 2: Convert to fraction form
    637.23/878.01 = 489.60/x
  3. Step 3: Cross multiply
    637.23x = 878.01 × 489.60
  4. Step 4: Simplify right side
    637.23x = 429,873.70
  5. Step 5: Solve for x
    x = 429,873.70/637.23
  6. Step 6: Final answer
    x = 674.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.