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Finding the Fourth Proportional to 632.45, 872.60 and 422.66

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Solution

The fourth proportional to 632.45, 872.60 and 422.66 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 872.60 = 422.66 : x
  2. Step 2: Convert to fraction form
    632.45/872.60 = 422.66/x
  3. Step 3: Cross multiply
    632.45x = 872.60 × 422.66
  4. Step 4: Simplify right side
    632.45x = 368,806.64
  5. Step 5: Solve for x
    x = 368,806.64/632.45
  6. Step 6: Final answer
    x = 583.14

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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.