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Finding the Fourth Proportional to 754.34, 1,040.94 and 422.74

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Solution

The fourth proportional to 754.34, 1,040.94 and 422.74 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.34 : 1,040.94 = 422.74 : x
  2. Step 2: Convert to fraction form
    754.34/1,040.94 = 422.74/x
  3. Step 3: Cross multiply
    754.34x = 1,040.94 × 422.74
  4. Step 4: Simplify right side
    754.34x = 440,046.98
  5. Step 5: Solve for x
    x = 440,046.98/754.34
  6. Step 6: Final answer
    x = 583.35

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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.