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Finding the Fourth Proportional to 632.30, 872.87 and 411.41

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Solution

The fourth proportional to 632.30, 872.87 and 411.41 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.30 : 872.87 = 411.41 : x
  2. Step 2: Convert to fraction form
    632.30/872.87 = 411.41/x
  3. Step 3: Cross multiply
    632.30x = 872.87 × 411.41
  4. Step 4: Simplify right side
    632.30x = 359,107.57
  5. Step 5: Solve for x
    x = 359,107.57/632.30
  6. Step 6: Final answer
    x = 567.94

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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.