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Finding the Fourth Proportional to 868.78, 1,302.43 and 381.45

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Solution

The fourth proportional to 868.78, 1,302.43 and 381.45 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.78 : 1,302.43 = 381.45 : x
  2. Step 2: Convert to fraction form
    868.78/1,302.43 = 381.45/x
  3. Step 3: Cross multiply
    868.78x = 1,302.43 × 381.45
  4. Step 4: Simplify right side
    868.78x = 496,811.92
  5. Step 5: Solve for x
    x = 496,811.92/868.78
  6. Step 6: Final answer
    x = 571.85

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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.