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Finding the Fourth Proportional to 1,251.09, 1,875.20 and 672.75

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Solution

The fourth proportional to 1,251.09, 1,875.20 and 672.75 is: 1,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.09 : 1,875.20 = 672.75 : x
  2. Step 2: Convert to fraction form
    1,251.09/1,875.20 = 672.75/x
  3. Step 3: Cross multiply
    1,251.09x = 1,875.20 × 672.75
  4. Step 4: Simplify right side
    1,251.09x = 1,261,537.44
  5. Step 5: Solve for x
    x = 1,261,537.44/1,251.09
  6. Step 6: Final answer
    x = 1,008.35

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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.