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Finding the Fourth Proportional to 632.68, 872.23 and 422.89

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Solution

The fourth proportional to 632.68, 872.23 and 422.89 is: 583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 872.23 = 422.89 : x
  2. Step 2: Convert to fraction form
    632.68/872.23 = 422.89/x
  3. Step 3: Cross multiply
    632.68x = 872.23 × 422.89
  4. Step 4: Simplify right side
    632.68x = 368,857.34
  5. Step 5: Solve for x
    x = 368,857.34/632.68
  6. Step 6: Final answer
    x = 583.01

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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.