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Finding the Fourth Proportional to 632.25, 872.43 and 366.77

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Solution

The fourth proportional to 632.25, 872.43 and 366.77 is: 506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.25 : 872.43 = 366.77 : x
  2. Step 2: Convert to fraction form
    632.25/872.43 = 366.77/x
  3. Step 3: Cross multiply
    632.25x = 872.43 × 366.77
  4. Step 4: Simplify right side
    632.25x = 319,976.79
  5. Step 5: Solve for x
    x = 319,976.79/632.25
  6. Step 6: Final answer
    x = 506.09

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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.