Home / 1,147.60-1,721.38-281.92

Finding the Fourth Proportional to 1,147.60, 1,721.38 and 281.92

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Solution

The fourth proportional to 1,147.60, 1,721.38 and 281.92 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.60 : 1,721.38 = 281.92 : x
  2. Step 2: Convert to fraction form
    1,147.60/1,721.38 = 281.92/x
  3. Step 3: Cross multiply
    1,147.60x = 1,721.38 × 281.92
  4. Step 4: Simplify right side
    1,147.60x = 485,291.45
  5. Step 5: Solve for x
    x = 485,291.45/1,147.60
  6. Step 6: Final answer
    x = 422.88

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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.