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Finding the Fourth Proportional to 643.08, 964.78 and 180.86

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Solution

The fourth proportional to 643.08, 964.78 and 180.86 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.08 : 964.78 = 180.86 : x
  2. Step 2: Convert to fraction form
    643.08/964.78 = 180.86/x
  3. Step 3: Cross multiply
    643.08x = 964.78 × 180.86
  4. Step 4: Simplify right side
    643.08x = 174,490.11
  5. Step 5: Solve for x
    x = 174,490.11/643.08
  6. Step 6: Final answer
    x = 271.33

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Double scale
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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.