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Finding the Fourth Proportional to 453.78, 679.01 and 258.96

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Solution

The fourth proportional to 453.78, 679.01 and 258.96 is: 387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.78 : 679.01 = 258.96 : x
  2. Step 2: Convert to fraction form
    453.78/679.01 = 258.96/x
  3. Step 3: Cross multiply
    453.78x = 679.01 × 258.96
  4. Step 4: Simplify right side
    453.78x = 175,836.43
  5. Step 5: Solve for x
    x = 175,836.43/453.78
  6. Step 6: Final answer
    x = 387.49

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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.