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Finding the Fourth Proportional to 772.33, 1,158.22 and 224.37

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Solution

The fourth proportional to 772.33, 1,158.22 and 224.37 is: 336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.33 : 1,158.22 = 224.37 : x
  2. Step 2: Convert to fraction form
    772.33/1,158.22 = 224.37/x
  3. Step 3: Cross multiply
    772.33x = 1,158.22 × 224.37
  4. Step 4: Simplify right side
    772.33x = 259,869.82
  5. Step 5: Solve for x
    x = 259,869.82/772.33
  6. Step 6: Final answer
    x = 336.48

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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.