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Finding the Fourth Proportional to 632.06, 872.18 and 396.20

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Solution

The fourth proportional to 632.06, 872.18 and 396.20 is: 546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.06 : 872.18 = 396.20 : x
  2. Step 2: Convert to fraction form
    632.06/872.18 = 396.20/x
  3. Step 3: Cross multiply
    632.06x = 872.18 × 396.20
  4. Step 4: Simplify right side
    632.06x = 345,557.72
  5. Step 5: Solve for x
    x = 345,557.72/632.06
  6. Step 6: Final answer
    x = 546.72

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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.