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Finding the Fourth Proportional to 1,008.57, 1,512.92 and 268.20

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Solution

The fourth proportional to 1,008.57, 1,512.92 and 268.20 is: 402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.57 : 1,512.92 = 268.20 : x
  2. Step 2: Convert to fraction form
    1,008.57/1,512.92 = 268.20/x
  3. Step 3: Cross multiply
    1,008.57x = 1,512.92 × 268.20
  4. Step 4: Simplify right side
    1,008.57x = 405,765.14
  5. Step 5: Solve for x
    x = 405,765.14/1,008.57
  6. Step 6: Final answer
    x = 402.32

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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.