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Finding the Fourth Proportional to 754.92, 1,040.85 and 567.61

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Solution

The fourth proportional to 754.92, 1,040.85 and 567.61 is: 782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.92 : 1,040.85 = 567.61 : x
  2. Step 2: Convert to fraction form
    754.92/1,040.85 = 567.61/x
  3. Step 3: Cross multiply
    754.92x = 1,040.85 × 567.61
  4. Step 4: Simplify right side
    754.92x = 590,794.27
  5. Step 5: Solve for x
    x = 590,794.27/754.92
  6. Step 6: Final answer
    x = 782.59

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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.