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Finding the Fourth Proportional to 649.72, 974.22 and 324.64

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Solution

The fourth proportional to 649.72, 974.22 and 324.64 is: 486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 974.22 = 324.64 : x
  2. Step 2: Convert to fraction form
    649.72/974.22 = 324.64/x
  3. Step 3: Cross multiply
    649.72x = 974.22 × 324.64
  4. Step 4: Simplify right side
    649.72x = 316,270.78
  5. Step 5: Solve for x
    x = 316,270.78/649.72
  6. Step 6: Final answer
    x = 486.78

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Double scale
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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.