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Finding the Fourth Proportional to 723.10, 1,082.80 and 398.11

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Solution

The fourth proportional to 723.10, 1,082.80 and 398.11 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.10 : 1,082.80 = 398.11 : x
  2. Step 2: Convert to fraction form
    723.10/1,082.80 = 398.11/x
  3. Step 3: Cross multiply
    723.10x = 1,082.80 × 398.11
  4. Step 4: Simplify right side
    723.10x = 431,073.51
  5. Step 5: Solve for x
    x = 431,073.51/723.10
  6. Step 6: Final answer
    x = 596.15

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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.