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Finding the Fourth Proportional to 502.66, 696.63 and 494.97

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Solution

The fourth proportional to 502.66, 696.63 and 494.97 is: 685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.66 : 696.63 = 494.97 : x
  2. Step 2: Convert to fraction form
    502.66/696.63 = 494.97/x
  3. Step 3: Cross multiply
    502.66x = 696.63 × 494.97
  4. Step 4: Simplify right side
    502.66x = 344,810.95
  5. Step 5: Solve for x
    x = 344,810.95/502.66
  6. Step 6: Final answer
    x = 685.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.