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Finding the Fourth Proportional to 559.75, 772.25 and 363.19

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Solution

The fourth proportional to 559.75, 772.25 and 363.19 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 772.25 = 363.19 : x
  2. Step 2: Convert to fraction form
    559.75/772.25 = 363.19/x
  3. Step 3: Cross multiply
    559.75x = 772.25 × 363.19
  4. Step 4: Simplify right side
    559.75x = 280,469.73
  5. Step 5: Solve for x
    x = 280,469.73/559.75
  6. Step 6: Final answer
    x = 501.06

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.