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Finding the Fourth Proportional to 1,242.87, 1,864.31 and 512.52

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Solution

The fourth proportional to 1,242.87, 1,864.31 and 512.52 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.87 : 1,864.31 = 512.52 : x
  2. Step 2: Convert to fraction form
    1,242.87/1,864.31 = 512.52/x
  3. Step 3: Cross multiply
    1,242.87x = 1,864.31 × 512.52
  4. Step 4: Simplify right side
    1,242.87x = 955,493.60
  5. Step 5: Solve for x
    x = 955,493.60/1,242.87
  6. Step 6: Final answer
    x = 768.78

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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.