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Finding the Fourth Proportional to 749.97, 1,125.26 and 287.97

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Solution

The fourth proportional to 749.97, 1,125.26 and 287.97 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.97 : 1,125.26 = 287.97 : x
  2. Step 2: Convert to fraction form
    749.97/1,125.26 = 287.97/x
  3. Step 3: Cross multiply
    749.97x = 1,125.26 × 287.97
  4. Step 4: Simplify right side
    749.97x = 324,036.54
  5. Step 5: Solve for x
    x = 324,036.54/749.97
  6. Step 6: Final answer
    x = 432.07

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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.