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Finding the Fourth Proportional to 754.39, 1,040.92 and 459.75

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Solution

The fourth proportional to 754.39, 1,040.92 and 459.75 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.39 : 1,040.92 = 459.75 : x
  2. Step 2: Convert to fraction form
    754.39/1,040.92 = 459.75/x
  3. Step 3: Cross multiply
    754.39x = 1,040.92 × 459.75
  4. Step 4: Simplify right side
    754.39x = 478,562.97
  5. Step 5: Solve for x
    x = 478,562.97/754.39
  6. Step 6: Final answer
    x = 634.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.