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Finding the Fourth Proportional to 642.72, 963.46 and 396.07

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Solution

The fourth proportional to 642.72, 963.46 and 396.07 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 963.46 = 396.07 : x
  2. Step 2: Convert to fraction form
    642.72/963.46 = 396.07/x
  3. Step 3: Cross multiply
    642.72x = 963.46 × 396.07
  4. Step 4: Simplify right side
    642.72x = 381,597.60
  5. Step 5: Solve for x
    x = 381,597.60/642.72
  6. Step 6: Final answer
    x = 593.72

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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.