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Finding the Fourth Proportional to 397.66, 593.02 and 379.03

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Solution

The fourth proportional to 397.66, 593.02 and 379.03 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.66 : 593.02 = 379.03 : x
  2. Step 2: Convert to fraction form
    397.66/593.02 = 379.03/x
  3. Step 3: Cross multiply
    397.66x = 593.02 × 379.03
  4. Step 4: Simplify right side
    397.66x = 224,772.37
  5. Step 5: Solve for x
    x = 224,772.37/397.66
  6. Step 6: Final answer
    x = 565.24

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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.