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Finding the Fourth Proportional to 643.06, 963.69 and 277.48

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Solution

The fourth proportional to 643.06, 963.69 and 277.48 is: 415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.06 : 963.69 = 277.48 : x
  2. Step 2: Convert to fraction form
    643.06/963.69 = 277.48/x
  3. Step 3: Cross multiply
    643.06x = 963.69 × 277.48
  4. Step 4: Simplify right side
    643.06x = 267,404.70
  5. Step 5: Solve for x
    x = 267,404.70/643.06
  6. Step 6: Final answer
    x = 415.83

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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.