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Finding the Fourth Proportional to 641.82, 961.71 and 368.11

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Solution

The fourth proportional to 641.82, 961.71 and 368.11 is: 551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.82 : 961.71 = 368.11 : x
  2. Step 2: Convert to fraction form
    641.82/961.71 = 368.11/x
  3. Step 3: Cross multiply
    641.82x = 961.71 × 368.11
  4. Step 4: Simplify right side
    641.82x = 354,012.39
  5. Step 5: Solve for x
    x = 354,012.39/641.82
  6. Step 6: Final answer
    x = 551.57

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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.