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Finding the Fourth Proportional to 1,272.24, 1,903.73 and 752.48

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Solution

The fourth proportional to 1,272.24, 1,903.73 and 752.48 is: 1,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.24 : 1,903.73 = 752.48 : x
  2. Step 2: Convert to fraction form
    1,272.24/1,903.73 = 752.48/x
  3. Step 3: Cross multiply
    1,272.24x = 1,903.73 × 752.48
  4. Step 4: Simplify right side
    1,272.24x = 1,432,505.47
  5. Step 5: Solve for x
    x = 1,432,505.47/1,272.24
  6. Step 6: Final answer
    x = 1,125.97

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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.