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Finding the Fourth Proportional to 632.07, 871.70 and 422.07

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Solution

The fourth proportional to 632.07, 871.70 and 422.07 is: 582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.07 : 871.70 = 422.07 : x
  2. Step 2: Convert to fraction form
    632.07/871.70 = 422.07/x
  3. Step 3: Cross multiply
    632.07x = 871.70 × 422.07
  4. Step 4: Simplify right side
    632.07x = 367,921.65
  5. Step 5: Solve for x
    x = 367,921.65/632.07
  6. Step 6: Final answer
    x = 582.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.