Home / 1,013.11-1,519.50-282.52

Finding the Fourth Proportional to 1,013.11, 1,519.50 and 282.52

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Solution

The fourth proportional to 1,013.11, 1,519.50 and 282.52 is: 423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.11 : 1,519.50 = 282.52 : x
  2. Step 2: Convert to fraction form
    1,013.11/1,519.50 = 282.52/x
  3. Step 3: Cross multiply
    1,013.11x = 1,519.50 × 282.52
  4. Step 4: Simplify right side
    1,013.11x = 429,289.14
  5. Step 5: Solve for x
    x = 429,289.14/1,013.11
  6. Step 6: Final answer
    x = 423.73

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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.