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Finding the Fourth Proportional to 725.89, 1,001.89 and 446.37

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Solution

The fourth proportional to 725.89, 1,001.89 and 446.37 is: 616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,001.89 = 446.37 : x
  2. Step 2: Convert to fraction form
    725.89/1,001.89 = 446.37/x
  3. Step 3: Cross multiply
    725.89x = 1,001.89 × 446.37
  4. Step 4: Simplify right side
    725.89x = 447,209.88
  5. Step 5: Solve for x
    x = 447,209.88/725.89
  6. Step 6: Final answer
    x = 616.09

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1.5x scale

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.