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Finding the Fourth Proportional to 725.74, 1,000.48 and 489.82

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Solution

The fourth proportional to 725.74, 1,000.48 and 489.82 is: 675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.74 : 1,000.48 = 489.82 : x
  2. Step 2: Convert to fraction form
    725.74/1,000.48 = 489.82/x
  3. Step 3: Cross multiply
    725.74x = 1,000.48 × 489.82
  4. Step 4: Simplify right side
    725.74x = 490,055.11
  5. Step 5: Solve for x
    x = 490,055.11/725.74
  6. Step 6: Final answer
    x = 675.25

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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.