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Finding the Fourth Proportional to 724.14, 1,085.04 and 399.78

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Solution

The fourth proportional to 724.14, 1,085.04 and 399.78 is: 599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,085.04 = 399.78 : x
  2. Step 2: Convert to fraction form
    724.14/1,085.04 = 399.78/x
  3. Step 3: Cross multiply
    724.14x = 1,085.04 × 399.78
  4. Step 4: Simplify right side
    724.14x = 433,777.29
  5. Step 5: Solve for x
    x = 433,777.29/724.14
  6. Step 6: Final answer
    x = 599.02

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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.