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Finding the Fourth Proportional to 724.61, 1,085.10 and 562.41

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Solution

The fourth proportional to 724.61, 1,085.10 and 562.41 is: 842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.61 : 1,085.10 = 562.41 : x
  2. Step 2: Convert to fraction form
    724.61/1,085.10 = 562.41/x
  3. Step 3: Cross multiply
    724.61x = 1,085.10 × 562.41
  4. Step 4: Simplify right side
    724.61x = 610,268.98
  5. Step 5: Solve for x
    x = 610,268.98/724.61
  6. Step 6: Final answer
    x = 842.20

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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.