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Finding the Fourth Proportional to 754.11, 1,040.85 and 459.61

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Solution

The fourth proportional to 754.11, 1,040.85 and 459.61 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.11 : 1,040.85 = 459.61 : x
  2. Step 2: Convert to fraction form
    754.11/1,040.85 = 459.61/x
  3. Step 3: Cross multiply
    754.11x = 1,040.85 × 459.61
  4. Step 4: Simplify right side
    754.11x = 478,382.47
  5. Step 5: Solve for x
    x = 478,382.47/754.11
  6. Step 6: Final answer
    x = 634.37

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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.