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Finding the Fourth Proportional to 649.85, 974.78 and 303.00

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Solution

The fourth proportional to 649.85, 974.78 and 303.00 is: 454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.85 : 974.78 = 303.00 : x
  2. Step 2: Convert to fraction form
    649.85/974.78 = 303.00/x
  3. Step 3: Cross multiply
    649.85x = 974.78 × 303.00
  4. Step 4: Simplify right side
    649.85x = 295,351.95
  5. Step 5: Solve for x
    x = 295,351.95/649.85
  6. Step 6: Final answer
    x = 454.49

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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.