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Finding the Fourth Proportional to 724.23, 1,086.66 and 621.27

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Solution

The fourth proportional to 724.23, 1,086.66 and 621.27 is: 932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.23 : 1,086.66 = 621.27 : x
  2. Step 2: Convert to fraction form
    724.23/1,086.66 = 621.27/x
  3. Step 3: Cross multiply
    724.23x = 1,086.66 × 621.27
  4. Step 4: Simplify right side
    724.23x = 675,109.26
  5. Step 5: Solve for x
    x = 675,109.26/724.23
  6. Step 6: Final answer
    x = 932.18

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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.