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Finding the Fourth Proportional to 754.04, 1,040.63 and 422.42

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Solution

The fourth proportional to 754.04, 1,040.63 and 422.42 is: 582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.04 : 1,040.63 = 422.42 : x
  2. Step 2: Convert to fraction form
    754.04/1,040.63 = 422.42/x
  3. Step 3: Cross multiply
    754.04x = 1,040.63 × 422.42
  4. Step 4: Simplify right side
    754.04x = 439,575.61
  5. Step 5: Solve for x
    x = 439,575.61/754.04
  6. Step 6: Final answer
    x = 582.96

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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.