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Finding the Fourth Proportional to 724.05, 1,085.76 and 261.68

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Solution

The fourth proportional to 724.05, 1,085.76 and 261.68 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.05 : 1,085.76 = 261.68 : x
  2. Step 2: Convert to fraction form
    724.05/1,085.76 = 261.68/x
  3. Step 3: Cross multiply
    724.05x = 1,085.76 × 261.68
  4. Step 4: Simplify right side
    724.05x = 284,116.25
  5. Step 5: Solve for x
    x = 284,116.25/724.05
  6. Step 6: Final answer
    x = 392.40

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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.