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Finding the Fourth Proportional to 649.76, 974.77 and 211.12

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Solution

The fourth proportional to 649.76, 974.77 and 211.12 is: 316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 974.77 = 211.12 : x
  2. Step 2: Convert to fraction form
    649.76/974.77 = 211.12/x
  3. Step 3: Cross multiply
    649.76x = 974.77 × 211.12
  4. Step 4: Simplify right side
    649.76x = 205,794.13
  5. Step 5: Solve for x
    x = 205,794.13/649.76
  6. Step 6: Final answer
    x = 316.72

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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.