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Finding the Fourth Proportional to 641.57, 961.77 and 230.61

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Solution

The fourth proportional to 641.57, 961.77 and 230.61 is: 345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.57 : 961.77 = 230.61 : x
  2. Step 2: Convert to fraction form
    641.57/961.77 = 230.61/x
  3. Step 3: Cross multiply
    641.57x = 961.77 × 230.61
  4. Step 4: Simplify right side
    641.57x = 221,788.97
  5. Step 5: Solve for x
    x = 221,788.97/641.57
  6. Step 6: Final answer
    x = 345.70

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1.5x scale

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.