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Finding the Fourth Proportional to 649.50, 974.25 and 298.23

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Solution

The fourth proportional to 649.50, 974.25 and 298.23 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 974.25 = 298.23 : x
  2. Step 2: Convert to fraction form
    649.50/974.25 = 298.23/x
  3. Step 3: Cross multiply
    649.50x = 974.25 × 298.23
  4. Step 4: Simplify right side
    649.50x = 290,550.58
  5. Step 5: Solve for x
    x = 290,550.58/649.50
  6. Step 6: Final answer
    x = 447.35

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Double scale
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Similar ratio
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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.