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Finding the Fourth Proportional to 642.87, 963.42 and 334.11

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Solution

The fourth proportional to 642.87, 963.42 and 334.11 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.87 : 963.42 = 334.11 : x
  2. Step 2: Convert to fraction form
    642.87/963.42 = 334.11/x
  3. Step 3: Cross multiply
    642.87x = 963.42 × 334.11
  4. Step 4: Simplify right side
    642.87x = 321,888.26
  5. Step 5: Solve for x
    x = 321,888.26/642.87
  6. Step 6: Final answer
    x = 500.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.