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Finding the Fourth Proportional to 494.53, 682.66 and 295.43

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Solution

The fourth proportional to 494.53, 682.66 and 295.43 is: 407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.53 : 682.66 = 295.43 : x
  2. Step 2: Convert to fraction form
    494.53/682.66 = 295.43/x
  3. Step 3: Cross multiply
    494.53x = 682.66 × 295.43
  4. Step 4: Simplify right side
    494.53x = 201,675.57
  5. Step 5: Solve for x
    x = 201,675.57/494.53
  6. Step 6: Final answer
    x = 407.82

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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.