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Finding the Fourth Proportional to 725.24, 1,085.92 and 494.58

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Solution

The fourth proportional to 725.24, 1,085.92 and 494.58 is: 740.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.24 : 1,085.92 = 494.58 : x
  2. Step 2: Convert to fraction form
    725.24/1,085.92 = 494.58/x
  3. Step 3: Cross multiply
    725.24x = 1,085.92 × 494.58
  4. Step 4: Simplify right side
    725.24x = 537,066.41
  5. Step 5: Solve for x
    x = 537,066.41/725.24
  6. Step 6: Final answer
    x = 740.54

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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.