Home / 1,147.52-1,721.28-281.83

Finding the Fourth Proportional to 1,147.52, 1,721.28 and 281.83

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Solution

The fourth proportional to 1,147.52, 1,721.28 and 281.83 is: 422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.52 : 1,721.28 = 281.83 : x
  2. Step 2: Convert to fraction form
    1,147.52/1,721.28 = 281.83/x
  3. Step 3: Cross multiply
    1,147.52x = 1,721.28 × 281.83
  4. Step 4: Simplify right side
    1,147.52x = 485,106.93
  5. Step 5: Solve for x
    x = 485,106.93/1,147.52
  6. Step 6: Final answer
    x = 422.75

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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.