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Finding the Fourth Proportional to 725.10, 999.27 and 537.90

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Solution

The fourth proportional to 725.10, 999.27 and 537.90 is: 741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 999.27 = 537.90 : x
  2. Step 2: Convert to fraction form
    725.10/999.27 = 537.90/x
  3. Step 3: Cross multiply
    725.10x = 999.27 × 537.90
  4. Step 4: Simplify right side
    725.10x = 537,507.33
  5. Step 5: Solve for x
    x = 537,507.33/725.10
  6. Step 6: Final answer
    x = 741.29

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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.