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Finding the Fourth Proportional to 649.96, 974.78 and 216.84

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Solution

The fourth proportional to 649.96, 974.78 and 216.84 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 974.78 = 216.84 : x
  2. Step 2: Convert to fraction form
    649.96/974.78 = 216.84/x
  3. Step 3: Cross multiply
    649.96x = 974.78 × 216.84
  4. Step 4: Simplify right side
    649.96x = 211,371.30
  5. Step 5: Solve for x
    x = 211,371.30/649.96
  6. Step 6: Final answer
    x = 325.21

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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.