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Finding the Fourth Proportional to 1,013.21, 1,519.82 and 282.79

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Solution

The fourth proportional to 1,013.21, 1,519.82 and 282.79 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.21 : 1,519.82 = 282.79 : x
  2. Step 2: Convert to fraction form
    1,013.21/1,519.82 = 282.79/x
  3. Step 3: Cross multiply
    1,013.21x = 1,519.82 × 282.79
  4. Step 4: Simplify right side
    1,013.21x = 429,783.69
  5. Step 5: Solve for x
    x = 429,783.69/1,013.21
  6. Step 6: Final answer
    x = 424.18

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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.