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Finding the Fourth Proportional to 642.69, 963.15 and 276.97

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Solution

The fourth proportional to 642.69, 963.15 and 276.97 is: 415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.69 : 963.15 = 276.97 : x
  2. Step 2: Convert to fraction form
    642.69/963.15 = 276.97/x
  3. Step 3: Cross multiply
    642.69x = 963.15 × 276.97
  4. Step 4: Simplify right side
    642.69x = 266,763.66
  5. Step 5: Solve for x
    x = 266,763.66/642.69
  6. Step 6: Final answer
    x = 415.07

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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.