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Finding the Fourth Proportional to 724.36, 1,083.78 and 399.96

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Solution

The fourth proportional to 724.36, 1,083.78 and 399.96 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,083.78 = 399.96 : x
  2. Step 2: Convert to fraction form
    724.36/1,083.78 = 399.96/x
  3. Step 3: Cross multiply
    724.36x = 1,083.78 × 399.96
  4. Step 4: Simplify right side
    724.36x = 433,468.65
  5. Step 5: Solve for x
    x = 433,468.65/724.36
  6. Step 6: Final answer
    x = 598.42

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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.