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Finding the Fourth Proportional to 642.46, 887.34 and 422.38

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Solution

The fourth proportional to 642.46, 887.34 and 422.38 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.46 : 887.34 = 422.38 : x
  2. Step 2: Convert to fraction form
    642.46/887.34 = 422.38/x
  3. Step 3: Cross multiply
    642.46x = 887.34 × 422.38
  4. Step 4: Simplify right side
    642.46x = 374,794.67
  5. Step 5: Solve for x
    x = 374,794.67/642.46
  6. Step 6: Final answer
    x = 583.37

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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.