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Finding the Fourth Proportional to 453.46, 679.31 and 279.61

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Solution

The fourth proportional to 453.46, 679.31 and 279.61 is: 418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.46 : 679.31 = 279.61 : x
  2. Step 2: Convert to fraction form
    453.46/679.31 = 279.61/x
  3. Step 3: Cross multiply
    453.46x = 679.31 × 279.61
  4. Step 4: Simplify right side
    453.46x = 189,941.87
  5. Step 5: Solve for x
    x = 189,941.87/453.46
  6. Step 6: Final answer
    x = 418.88

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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.