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Finding the Fourth Proportional to 642.54, 963.93 and 231.73

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Solution

The fourth proportional to 642.54, 963.93 and 231.73 is: 347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.54 : 963.93 = 231.73 : x
  2. Step 2: Convert to fraction form
    642.54/963.93 = 231.73/x
  3. Step 3: Cross multiply
    642.54x = 963.93 × 231.73
  4. Step 4: Simplify right side
    642.54x = 223,371.50
  5. Step 5: Solve for x
    x = 223,371.50/642.54
  6. Step 6: Final answer
    x = 347.64

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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.