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Finding the Fourth Proportional to 641.78, 963.02 and 368.42

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Solution

The fourth proportional to 641.78, 963.02 and 368.42 is: 552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.78 : 963.02 = 368.42 : x
  2. Step 2: Convert to fraction form
    641.78/963.02 = 368.42/x
  3. Step 3: Cross multiply
    641.78x = 963.02 × 368.42
  4. Step 4: Simplify right side
    641.78x = 354,795.83
  5. Step 5: Solve for x
    x = 354,795.83/641.78
  6. Step 6: Final answer
    x = 552.83

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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.