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Finding the Fourth Proportional to 642.49, 963.74 and 155.54

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Solution

The fourth proportional to 642.49, 963.74 and 155.54 is: 233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.49 : 963.74 = 155.54 : x
  2. Step 2: Convert to fraction form
    642.49/963.74 = 155.54/x
  3. Step 3: Cross multiply
    642.49x = 963.74 × 155.54
  4. Step 4: Simplify right side
    642.49x = 149,902.33
  5. Step 5: Solve for x
    x = 149,902.33/642.49
  6. Step 6: Final answer
    x = 233.31

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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.