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Finding the Fourth Proportional to 494.38, 682.05 and 370.27

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Solution

The fourth proportional to 494.38, 682.05 and 370.27 is: 510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.38 : 682.05 = 370.27 : x
  2. Step 2: Convert to fraction form
    494.38/682.05 = 370.27/x
  3. Step 3: Cross multiply
    494.38x = 682.05 × 370.27
  4. Step 4: Simplify right side
    494.38x = 252,542.65
  5. Step 5: Solve for x
    x = 252,542.65/494.38
  6. Step 6: Final answer
    x = 510.83

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1.5x scale

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.