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Finding the Fourth Proportional to 649.81, 974.68 and 216.96

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Solution

The fourth proportional to 649.81, 974.68 and 216.96 is: 325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 974.68 = 216.96 : x
  2. Step 2: Convert to fraction form
    649.81/974.68 = 216.96/x
  3. Step 3: Cross multiply
    649.81x = 974.68 × 216.96
  4. Step 4: Simplify right side
    649.81x = 211,469.08
  5. Step 5: Solve for x
    x = 211,469.08/649.81
  6. Step 6: Final answer
    x = 325.43

Related Problems

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Half scale
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Double scale
Find fourth proportional to 650.81, 976.18 and 217.96
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.