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Finding the Fourth Proportional to 723.76, 1,082.89 and 665.67

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Solution

The fourth proportional to 723.76, 1,082.89 and 665.67 is: 995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 1,082.89 = 665.67 : x
  2. Step 2: Convert to fraction form
    723.76/1,082.89 = 665.67/x
  3. Step 3: Cross multiply
    723.76x = 1,082.89 × 665.67
  4. Step 4: Simplify right side
    723.76x = 720,847.39
  5. Step 5: Solve for x
    x = 720,847.39/723.76
  6. Step 6: Final answer
    x = 995.98

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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.