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Finding the Fourth Proportional to 397.89, 593.71 and 395.62

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Solution

The fourth proportional to 397.89, 593.71 and 395.62 is: 590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.89 : 593.71 = 395.62 : x
  2. Step 2: Convert to fraction form
    397.89/593.71 = 395.62/x
  3. Step 3: Cross multiply
    397.89x = 593.71 × 395.62
  4. Step 4: Simplify right side
    397.89x = 234,881.08
  5. Step 5: Solve for x
    x = 234,881.08/397.89
  6. Step 6: Final answer
    x = 590.32

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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.