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Finding the Fourth Proportional to 720.57, 1,082.39 and 516.45

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Solution

The fourth proportional to 720.57, 1,082.39 and 516.45 is: 775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.57 : 1,082.39 = 516.45 : x
  2. Step 2: Convert to fraction form
    720.57/1,082.39 = 516.45/x
  3. Step 3: Cross multiply
    720.57x = 1,082.39 × 516.45
  4. Step 4: Simplify right side
    720.57x = 559,000.32
  5. Step 5: Solve for x
    x = 559,000.32/720.57
  6. Step 6: Final answer
    x = 775.78

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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.