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Finding the Fourth Proportional to 914.56, 1,372.28 and 451.78

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Solution

The fourth proportional to 914.56, 1,372.28 and 451.78 is: 677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.56 : 1,372.28 = 451.78 : x
  2. Step 2: Convert to fraction form
    914.56/1,372.28 = 451.78/x
  3. Step 3: Cross multiply
    914.56x = 1,372.28 × 451.78
  4. Step 4: Simplify right side
    914.56x = 619,962.97
  5. Step 5: Solve for x
    x = 619,962.97/914.56
  6. Step 6: Final answer
    x = 677.88

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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.