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Finding the Fourth Proportional to 641.34, 961.38 and 435.42

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Solution

The fourth proportional to 641.34, 961.38 and 435.42 is: 652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.34 : 961.38 = 435.42 : x
  2. Step 2: Convert to fraction form
    641.34/961.38 = 435.42/x
  3. Step 3: Cross multiply
    641.34x = 961.38 × 435.42
  4. Step 4: Simplify right side
    641.34x = 418,604.08
  5. Step 5: Solve for x
    x = 418,604.08/641.34
  6. Step 6: Final answer
    x = 652.70

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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.