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Finding the Fourth Proportional to 397.43, 591.95 and 379.66

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Solution

The fourth proportional to 397.43, 591.95 and 379.66 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.43 : 591.95 = 379.66 : x
  2. Step 2: Convert to fraction form
    397.43/591.95 = 379.66/x
  3. Step 3: Cross multiply
    397.43x = 591.95 × 379.66
  4. Step 4: Simplify right side
    397.43x = 224,739.74
  5. Step 5: Solve for x
    x = 224,739.74/397.43
  6. Step 6: Final answer
    x = 565.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.