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Finding the Fourth Proportional to 754.96, 1,040.88 and 614.92

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Solution

The fourth proportional to 754.96, 1,040.88 and 614.92 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.96 : 1,040.88 = 614.92 : x
  2. Step 2: Convert to fraction form
    754.96/1,040.88 = 614.92/x
  3. Step 3: Cross multiply
    754.96x = 1,040.88 × 614.92
  4. Step 4: Simplify right side
    754.96x = 640,057.93
  5. Step 5: Solve for x
    x = 640,057.93/754.96
  6. Step 6: Final answer
    x = 847.80

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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.