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Finding the Fourth Proportional to 1,013.08, 1,519.42 and 282.52

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Solution

The fourth proportional to 1,013.08, 1,519.42 and 282.52 is: 423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.08 : 1,519.42 = 282.52 : x
  2. Step 2: Convert to fraction form
    1,013.08/1,519.42 = 282.52/x
  3. Step 3: Cross multiply
    1,013.08x = 1,519.42 × 282.52
  4. Step 4: Simplify right side
    1,013.08x = 429,266.54
  5. Step 5: Solve for x
    x = 429,266.54/1,013.08
  6. Step 6: Final answer
    x = 423.72

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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.