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Finding the Fourth Proportional to 632.72, 872.86 and 411.59

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Solution

The fourth proportional to 632.72, 872.86 and 411.59 is: 567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.72 : 872.86 = 411.59 : x
  2. Step 2: Convert to fraction form
    632.72/872.86 = 411.59/x
  3. Step 3: Cross multiply
    632.72x = 872.86 × 411.59
  4. Step 4: Simplify right side
    632.72x = 359,262.37
  5. Step 5: Solve for x
    x = 359,262.37/632.72
  6. Step 6: Final answer
    x = 567.80

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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.