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Finding the Fourth Proportional to 725.89, 1,088.02 and 286.73

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Solution

The fourth proportional to 725.89, 1,088.02 and 286.73 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,088.02 = 286.73 : x
  2. Step 2: Convert to fraction form
    725.89/1,088.02 = 286.73/x
  3. Step 3: Cross multiply
    725.89x = 1,088.02 × 286.73
  4. Step 4: Simplify right side
    725.89x = 311,967.26
  5. Step 5: Solve for x
    x = 311,967.26/725.89
  6. Step 6: Final answer
    x = 429.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.