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Finding the Fourth Proportional to 724.53, 1,084.77 and 377.11

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Solution

The fourth proportional to 724.53, 1,084.77 and 377.11 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.53 : 1,084.77 = 377.11 : x
  2. Step 2: Convert to fraction form
    724.53/1,084.77 = 377.11/x
  3. Step 3: Cross multiply
    724.53x = 1,084.77 × 377.11
  4. Step 4: Simplify right side
    724.53x = 409,077.61
  5. Step 5: Solve for x
    x = 409,077.61/724.53
  6. Step 6: Final answer
    x = 564.61

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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.