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Finding the Fourth Proportional to 725.72, 1,000.96 and 460.24

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Solution

The fourth proportional to 725.72, 1,000.96 and 460.24 is: 634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.72 : 1,000.96 = 460.24 : x
  2. Step 2: Convert to fraction form
    725.72/1,000.96 = 460.24/x
  3. Step 3: Cross multiply
    725.72x = 1,000.96 × 460.24
  4. Step 4: Simplify right side
    725.72x = 460,678.18
  5. Step 5: Solve for x
    x = 460,678.18/725.72
  6. Step 6: Final answer
    x = 634.79

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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.