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Finding the Fourth Proportional to 632.44, 872.47 and 411.31

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Solution

The fourth proportional to 632.44, 872.47 and 411.31 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 872.47 = 411.31 : x
  2. Step 2: Convert to fraction form
    632.44/872.47 = 411.31/x
  3. Step 3: Cross multiply
    632.44x = 872.47 × 411.31
  4. Step 4: Simplify right side
    632.44x = 358,857.24
  5. Step 5: Solve for x
    x = 358,857.24/632.44
  6. Step 6: Final answer
    x = 567.42

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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.