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Finding the Fourth Proportional to 643.75, 965.61 and 181.53

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Solution

The fourth proportional to 643.75, 965.61 and 181.53 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.75 : 965.61 = 181.53 : x
  2. Step 2: Convert to fraction form
    643.75/965.61 = 181.53/x
  3. Step 3: Cross multiply
    643.75x = 965.61 × 181.53
  4. Step 4: Simplify right side
    643.75x = 175,287.18
  5. Step 5: Solve for x
    x = 175,287.18/643.75
  6. Step 6: Final answer
    x = 272.29

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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.