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Finding the Fourth Proportional to 631.43, 871.67 and 421.95

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Solution

The fourth proportional to 631.43, 871.67 and 421.95 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.43 : 871.67 = 421.95 : x
  2. Step 2: Convert to fraction form
    631.43/871.67 = 421.95/x
  3. Step 3: Cross multiply
    631.43x = 871.67 × 421.95
  4. Step 4: Simplify right side
    631.43x = 367,799.05
  5. Step 5: Solve for x
    x = 367,799.05/631.43
  6. Step 6: Final answer
    x = 582.49

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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.