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Finding the Fourth Proportional to 642.56, 963.70 and 180.39

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Solution

The fourth proportional to 642.56, 963.70 and 180.39 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.56 : 963.70 = 180.39 : x
  2. Step 2: Convert to fraction form
    642.56/963.70 = 180.39/x
  3. Step 3: Cross multiply
    642.56x = 963.70 × 180.39
  4. Step 4: Simplify right side
    642.56x = 173,837.78
  5. Step 5: Solve for x
    x = 173,837.78/642.56
  6. Step 6: Final answer
    x = 270.54

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1.5x scale

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.