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Finding the Fourth Proportional to 724.57, 1,085.69 and 377.39

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Solution

The fourth proportional to 724.57, 1,085.69 and 377.39 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.57 : 1,085.69 = 377.39 : x
  2. Step 2: Convert to fraction form
    724.57/1,085.69 = 377.39/x
  3. Step 3: Cross multiply
    724.57x = 1,085.69 × 377.39
  4. Step 4: Simplify right side
    724.57x = 409,732.21
  5. Step 5: Solve for x
    x = 409,732.21/724.57
  6. Step 6: Final answer
    x = 565.49

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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.