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Finding the Fourth Proportional to 938.05, 1,408.89 and 764.84

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Solution

The fourth proportional to 938.05, 1,408.89 and 764.84 is: 1,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.05 : 1,408.89 = 764.84 : x
  2. Step 2: Convert to fraction form
    938.05/1,408.89 = 764.84/x
  3. Step 3: Cross multiply
    938.05x = 1,408.89 × 764.84
  4. Step 4: Simplify right side
    938.05x = 1,077,581.82
  5. Step 5: Solve for x
    x = 1,077,581.82/938.05
  6. Step 6: Final answer
    x = 1,148.75

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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.