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Finding the Fourth Proportional to 725.61, 1,086.48 and 494.95

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Solution

The fourth proportional to 725.61, 1,086.48 and 494.95 is: 741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.61 : 1,086.48 = 494.95 : x
  2. Step 2: Convert to fraction form
    725.61/1,086.48 = 494.95/x
  3. Step 3: Cross multiply
    725.61x = 1,086.48 × 494.95
  4. Step 4: Simplify right side
    725.61x = 537,753.28
  5. Step 5: Solve for x
    x = 537,753.28/725.61
  6. Step 6: Final answer
    x = 741.11

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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.