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Finding the Fourth Proportional to 868.01, 1,197.49 and 494.92

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Solution

The fourth proportional to 868.01, 1,197.49 and 494.92 is: 682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.01 : 1,197.49 = 494.92 : x
  2. Step 2: Convert to fraction form
    868.01/1,197.49 = 494.92/x
  3. Step 3: Cross multiply
    868.01x = 1,197.49 × 494.92
  4. Step 4: Simplify right side
    868.01x = 592,661.75
  5. Step 5: Solve for x
    x = 592,661.75/868.01
  6. Step 6: Final answer
    x = 682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.