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Finding the Fourth Proportional to 694.93, 1,042.40 and 422.75

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Solution

The fourth proportional to 694.93, 1,042.40 and 422.75 is: 634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.93 : 1,042.40 = 422.75 : x
  2. Step 2: Convert to fraction form
    694.93/1,042.40 = 422.75/x
  3. Step 3: Cross multiply
    694.93x = 1,042.40 × 422.75
  4. Step 4: Simplify right side
    694.93x = 440,674.60
  5. Step 5: Solve for x
    x = 440,674.60/694.93
  6. Step 6: Final answer
    x = 634.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.