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Finding the Fourth Proportional to 725.65, 1,001.42 and 445.80

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Solution

The fourth proportional to 725.65, 1,001.42 and 445.80 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.65 : 1,001.42 = 445.80 : x
  2. Step 2: Convert to fraction form
    725.65/1,001.42 = 445.80/x
  3. Step 3: Cross multiply
    725.65x = 1,001.42 × 445.80
  4. Step 4: Simplify right side
    725.65x = 446,433.04
  5. Step 5: Solve for x
    x = 446,433.04/725.65
  6. Step 6: Final answer
    x = 615.22

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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.