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Finding the Fourth Proportional to 523.48, 721.72 and 449.64

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Solution

The fourth proportional to 523.48, 721.72 and 449.64 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 721.72 = 449.64 : x
  2. Step 2: Convert to fraction form
    523.48/721.72 = 449.64/x
  3. Step 3: Cross multiply
    523.48x = 721.72 × 449.64
  4. Step 4: Simplify right side
    523.48x = 324,514.18
  5. Step 5: Solve for x
    x = 324,514.18/523.48
  6. Step 6: Final answer
    x = 619.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.