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Finding the Fourth Proportional to 642.37, 963.78 and 276.96

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Solution

The fourth proportional to 642.37, 963.78 and 276.96 is: 415.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.37 : 963.78 = 276.96 : x
  2. Step 2: Convert to fraction form
    642.37/963.78 = 276.96/x
  3. Step 3: Cross multiply
    642.37x = 963.78 × 276.96
  4. Step 4: Simplify right side
    642.37x = 266,928.51
  5. Step 5: Solve for x
    x = 266,928.51/642.37
  6. Step 6: Final answer
    x = 415.54

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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.