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Finding the Fourth Proportional to 641.81, 961.55 and 295.43

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Solution

The fourth proportional to 641.81, 961.55 and 295.43 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.81 : 961.55 = 295.43 : x
  2. Step 2: Convert to fraction form
    641.81/961.55 = 295.43/x
  3. Step 3: Cross multiply
    641.81x = 961.55 × 295.43
  4. Step 4: Simplify right side
    641.81x = 284,070.72
  5. Step 5: Solve for x
    x = 284,070.72/641.81
  6. Step 6: Final answer
    x = 442.61

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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.