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Finding the Fourth Proportional to 631.67, 871.63 and 422.08

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Solution

The fourth proportional to 631.67, 871.63 and 422.08 is: 582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 871.63 = 422.08 : x
  2. Step 2: Convert to fraction form
    631.67/871.63 = 422.08/x
  3. Step 3: Cross multiply
    631.67x = 871.63 × 422.08
  4. Step 4: Simplify right side
    631.67x = 367,894.36
  5. Step 5: Solve for x
    x = 367,894.36/631.67
  6. Step 6: Final answer
    x = 582.42

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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.