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Finding the Fourth Proportional to 2,452.25, 3,679.19 and 990.61

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Solution

The fourth proportional to 2,452.25, 3,679.19 and 990.61 is: 1,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.25 : 3,679.19 = 990.61 : x
  2. Step 2: Convert to fraction form
    2,452.25/3,679.19 = 990.61/x
  3. Step 3: Cross multiply
    2,452.25x = 3,679.19 × 990.61
  4. Step 4: Simplify right side
    2,452.25x = 3,644,642.41
  5. Step 5: Solve for x
    x = 3,644,642.41/2,452.25
  6. Step 6: Final answer
    x = 1,486.24

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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.