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Finding the Fourth Proportional to 641.87, 962.80 and 179.68

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Solution

The fourth proportional to 641.87, 962.80 and 179.68 is: 269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.87 : 962.80 = 179.68 : x
  2. Step 2: Convert to fraction form
    641.87/962.80 = 179.68/x
  3. Step 3: Cross multiply
    641.87x = 962.80 × 179.68
  4. Step 4: Simplify right side
    641.87x = 172,993.05
  5. Step 5: Solve for x
    x = 172,993.05/641.87
  6. Step 6: Final answer
    x = 269.51

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Double scale
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Similar ratio
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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.