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Finding the Fourth Proportional to 723.12, 1,082.52 and 466.08

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Solution

The fourth proportional to 723.12, 1,082.52 and 466.08 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.12 : 1,082.52 = 466.08 : x
  2. Step 2: Convert to fraction form
    723.12/1,082.52 = 466.08/x
  3. Step 3: Cross multiply
    723.12x = 1,082.52 × 466.08
  4. Step 4: Simplify right side
    723.12x = 504,540.92
  5. Step 5: Solve for x
    x = 504,540.92/723.12
  6. Step 6: Final answer
    x = 697.73

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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.