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Finding the Fourth Proportional to 632.84, 872.79 and 408.81

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Solution

The fourth proportional to 632.84, 872.79 and 408.81 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 872.79 = 408.81 : x
  2. Step 2: Convert to fraction form
    632.84/872.79 = 408.81/x
  3. Step 3: Cross multiply
    632.84x = 872.79 × 408.81
  4. Step 4: Simplify right side
    632.84x = 356,805.28
  5. Step 5: Solve for x
    x = 356,805.28/632.84
  6. Step 6: Final answer
    x = 563.82

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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.