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Finding the Fourth Proportional to 724.09, 1,087.14 and 450.52

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Solution

The fourth proportional to 724.09, 1,087.14 and 450.52 is: 676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.09 : 1,087.14 = 450.52 : x
  2. Step 2: Convert to fraction form
    724.09/1,087.14 = 450.52/x
  3. Step 3: Cross multiply
    724.09x = 1,087.14 × 450.52
  4. Step 4: Simplify right side
    724.09x = 489,778.31
  5. Step 5: Solve for x
    x = 489,778.31/724.09
  6. Step 6: Final answer
    x = 676.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.