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Finding the Fourth Proportional to 724.18, 1,085.34 and 614.23

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Solution

The fourth proportional to 724.18, 1,085.34 and 614.23 is: 920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 1,085.34 = 614.23 : x
  2. Step 2: Convert to fraction form
    724.18/1,085.34 = 614.23/x
  3. Step 3: Cross multiply
    724.18x = 1,085.34 × 614.23
  4. Step 4: Simplify right side
    724.18x = 666,648.39
  5. Step 5: Solve for x
    x = 666,648.39/724.18
  6. Step 6: Final answer
    x = 920.56

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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.