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Finding the Fourth Proportional to 649.82, 974.80 and 217.02

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Solution

The fourth proportional to 649.82, 974.80 and 217.02 is: 325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 974.80 = 217.02 : x
  2. Step 2: Convert to fraction form
    649.82/974.80 = 217.02/x
  3. Step 3: Cross multiply
    649.82x = 974.80 × 217.02
  4. Step 4: Simplify right side
    649.82x = 211,551.10
  5. Step 5: Solve for x
    x = 211,551.10/649.82
  6. Step 6: Final answer
    x = 325.55

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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.