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Finding the Fourth Proportional to 452.13, 679.56 and 298.97

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Solution

The fourth proportional to 452.13, 679.56 and 298.97 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 679.56 = 298.97 : x
  2. Step 2: Convert to fraction form
    452.13/679.56 = 298.97/x
  3. Step 3: Cross multiply
    452.13x = 679.56 × 298.97
  4. Step 4: Simplify right side
    452.13x = 203,166.69
  5. Step 5: Solve for x
    x = 203,166.69/452.13
  6. Step 6: Final answer
    x = 449.35

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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.