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Finding the Fourth Proportional to 691.48, 1,037.67 and 645.94

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Solution

The fourth proportional to 691.48, 1,037.67 and 645.94 is: 969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.48 : 1,037.67 = 645.94 : x
  2. Step 2: Convert to fraction form
    691.48/1,037.67 = 645.94/x
  3. Step 3: Cross multiply
    691.48x = 1,037.67 × 645.94
  4. Step 4: Simplify right side
    691.48x = 670,272.56
  5. Step 5: Solve for x
    x = 670,272.56/691.48
  6. Step 6: Final answer
    x = 969.33

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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.