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Finding the Fourth Proportional to 749.81, 1,122.79 and 518.38

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Solution

The fourth proportional to 749.81, 1,122.79 and 518.38 is: 776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.81 : 1,122.79 = 518.38 : x
  2. Step 2: Convert to fraction form
    749.81/1,122.79 = 518.38/x
  3. Step 3: Cross multiply
    749.81x = 1,122.79 × 518.38
  4. Step 4: Simplify right side
    749.81x = 582,027.78
  5. Step 5: Solve for x
    x = 582,027.78/749.81
  6. Step 6: Final answer
    x = 776.24

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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.