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Finding the Fourth Proportional to 725.89, 1,003.67 and 633.63

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Solution

The fourth proportional to 725.89, 1,003.67 and 633.63 is: 876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,003.67 = 633.63 : x
  2. Step 2: Convert to fraction form
    725.89/1,003.67 = 633.63/x
  3. Step 3: Cross multiply
    725.89x = 1,003.67 × 633.63
  4. Step 4: Simplify right side
    725.89x = 635,957.01
  5. Step 5: Solve for x
    x = 635,957.01/725.89
  6. Step 6: Final answer
    x = 876.11

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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.