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Finding the Fourth Proportional to 912.28, 1,257.06 and 725.80

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Solution

The fourth proportional to 912.28, 1,257.06 and 725.80 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.28 : 1,257.06 = 725.80 : x
  2. Step 2: Convert to fraction form
    912.28/1,257.06 = 725.80/x
  3. Step 3: Cross multiply
    912.28x = 1,257.06 × 725.80
  4. Step 4: Simplify right side
    912.28x = 912,374.15
  5. Step 5: Solve for x
    x = 912,374.15/912.28
  6. Step 6: Final answer
    x = 1,000.10

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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.