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Finding the Fourth Proportional to 632.23, 872.34 and 408.22

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Solution

The fourth proportional to 632.23, 872.34 and 408.22 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.23 : 872.34 = 408.22 : x
  2. Step 2: Convert to fraction form
    632.23/872.34 = 408.22/x
  3. Step 3: Cross multiply
    632.23x = 872.34 × 408.22
  4. Step 4: Simplify right side
    632.23x = 356,106.63
  5. Step 5: Solve for x
    x = 356,106.63/632.23
  6. Step 6: Final answer
    x = 563.25

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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.