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Finding the Fourth Proportional to 749.20, 1,122.84 and 338.32

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Solution

The fourth proportional to 749.20, 1,122.84 and 338.32 is: 507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.20 : 1,122.84 = 338.32 : x
  2. Step 2: Convert to fraction form
    749.20/1,122.84 = 338.32/x
  3. Step 3: Cross multiply
    749.20x = 1,122.84 × 338.32
  4. Step 4: Simplify right side
    749.20x = 379,879.23
  5. Step 5: Solve for x
    x = 379,879.23/749.20
  6. Step 6: Final answer
    x = 507.05

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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.