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Finding the Fourth Proportional to 697.32, 1,048.26 and 691.85

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Solution

The fourth proportional to 697.32, 1,048.26 and 691.85 is: 1,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 1,048.26 = 691.85 : x
  2. Step 2: Convert to fraction form
    697.32/1,048.26 = 691.85/x
  3. Step 3: Cross multiply
    697.32x = 1,048.26 × 691.85
  4. Step 4: Simplify right side
    697.32x = 725,243.90
  5. Step 5: Solve for x
    x = 725,243.90/697.32
  6. Step 6: Final answer
    x = 1,040.04

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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.