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Finding the Fourth Proportional to 764.33, 1,146.78 and 277.71

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Solution

The fourth proportional to 764.33, 1,146.78 and 277.71 is: 416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.33 : 1,146.78 = 277.71 : x
  2. Step 2: Convert to fraction form
    764.33/1,146.78 = 277.71/x
  3. Step 3: Cross multiply
    764.33x = 1,146.78 × 277.71
  4. Step 4: Simplify right side
    764.33x = 318,472.27
  5. Step 5: Solve for x
    x = 318,472.27/764.33
  6. Step 6: Final answer
    x = 416.67

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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.