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Finding the Fourth Proportional to 724.69, 1,086.24 and 373.31

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Solution

The fourth proportional to 724.69, 1,086.24 and 373.31 is: 559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.69 : 1,086.24 = 373.31 : x
  2. Step 2: Convert to fraction form
    724.69/1,086.24 = 373.31/x
  3. Step 3: Cross multiply
    724.69x = 1,086.24 × 373.31
  4. Step 4: Simplify right side
    724.69x = 405,508.83
  5. Step 5: Solve for x
    x = 405,508.83/724.69
  6. Step 6: Final answer
    x = 559.56

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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.