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Finding the Fourth Proportional to 694.19, 1,042.29 and 433.43

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Solution

The fourth proportional to 694.19, 1,042.29 and 433.43 is: 650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 1,042.29 = 433.43 : x
  2. Step 2: Convert to fraction form
    694.19/1,042.29 = 433.43/x
  3. Step 3: Cross multiply
    694.19x = 1,042.29 × 433.43
  4. Step 4: Simplify right side
    694.19x = 451,759.75
  5. Step 5: Solve for x
    x = 451,759.75/694.19
  6. Step 6: Final answer
    x = 650.77

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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.