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Finding the Fourth Proportional to 649.74, 974.36 and 284.27

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Solution

The fourth proportional to 649.74, 974.36 and 284.27 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 974.36 = 284.27 : x
  2. Step 2: Convert to fraction form
    649.74/974.36 = 284.27/x
  3. Step 3: Cross multiply
    649.74x = 974.36 × 284.27
  4. Step 4: Simplify right side
    649.74x = 276,982.33
  5. Step 5: Solve for x
    x = 276,982.33/649.74
  6. Step 6: Final answer
    x = 426.30

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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.