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Finding the Fourth Proportional to 632.00, 872.19 and 396.09

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Solution

The fourth proportional to 632.00, 872.19 and 396.09 is: 546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.00 : 872.19 = 396.09 : x
  2. Step 2: Convert to fraction form
    632.00/872.19 = 396.09/x
  3. Step 3: Cross multiply
    632.00x = 872.19 × 396.09
  4. Step 4: Simplify right side
    632.00x = 345,465.74
  5. Step 5: Solve for x
    x = 345,465.74/632.00
  6. Step 6: Final answer
    x = 546.63

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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.