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Finding the Fourth Proportional to 689.27, 950.42 and 502.43

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Solution

The fourth proportional to 689.27, 950.42 and 502.43 is: 692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.27 : 950.42 = 502.43 : x
  2. Step 2: Convert to fraction form
    689.27/950.42 = 502.43/x
  3. Step 3: Cross multiply
    689.27x = 950.42 × 502.43
  4. Step 4: Simplify right side
    689.27x = 477,517.01
  5. Step 5: Solve for x
    x = 477,517.01/689.27
  6. Step 6: Final answer
    x = 692.79

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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.