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Finding the Fourth Proportional to 638.37, 958.22 and 565.70

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Solution

The fourth proportional to 638.37, 958.22 and 565.70 is: 849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.37 : 958.22 = 565.70 : x
  2. Step 2: Convert to fraction form
    638.37/958.22 = 565.70/x
  3. Step 3: Cross multiply
    638.37x = 958.22 × 565.70
  4. Step 4: Simplify right side
    638.37x = 542,057.43
  5. Step 5: Solve for x
    x = 542,057.43/638.37
  6. Step 6: Final answer
    x = 849.13

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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.