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Finding the Fourth Proportional to 691.97, 1,037.07 and 576.27

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Solution

The fourth proportional to 691.97, 1,037.07 and 576.27 is: 863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.97 : 1,037.07 = 576.27 : x
  2. Step 2: Convert to fraction form
    691.97/1,037.07 = 576.27/x
  3. Step 3: Cross multiply
    691.97x = 1,037.07 × 576.27
  4. Step 4: Simplify right side
    691.97x = 597,632.33
  5. Step 5: Solve for x
    x = 597,632.33/691.97
  6. Step 6: Final answer
    x = 863.67

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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.