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Finding the Fourth Proportional to 724.44, 1,087.32 and 563.16

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Solution

The fourth proportional to 724.44, 1,087.32 and 563.16 is: 845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 1,087.32 = 563.16 : x
  2. Step 2: Convert to fraction form
    724.44/1,087.32 = 563.16/x
  3. Step 3: Cross multiply
    724.44x = 1,087.32 × 563.16
  4. Step 4: Simplify right side
    724.44x = 612,335.13
  5. Step 5: Solve for x
    x = 612,335.13/724.44
  6. Step 6: Final answer
    x = 845.25

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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.