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Finding the Fourth Proportional to 868.33, 1,305.61 and 800.68

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Solution

The fourth proportional to 868.33, 1,305.61 and 800.68 is: 1,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.33 : 1,305.61 = 800.68 : x
  2. Step 2: Convert to fraction form
    868.33/1,305.61 = 800.68/x
  3. Step 3: Cross multiply
    868.33x = 1,305.61 × 800.68
  4. Step 4: Simplify right side
    868.33x = 1,045,375.81
  5. Step 5: Solve for x
    x = 1,045,375.81/868.33
  6. Step 6: Final answer
    x = 1,203.89

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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.