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Finding the Fourth Proportional to 868.37, 1,304.00 and 861.65

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Solution

The fourth proportional to 868.37, 1,304.00 and 861.65 is: 1,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.37 : 1,304.00 = 861.65 : x
  2. Step 2: Convert to fraction form
    868.37/1,304.00 = 861.65/x
  3. Step 3: Cross multiply
    868.37x = 1,304.00 × 861.65
  4. Step 4: Simplify right side
    868.37x = 1,123,580.77
  5. Step 5: Solve for x
    x = 1,123,580.77/868.37
  6. Step 6: Final answer
    x = 1,293.90

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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.