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Finding the Fourth Proportional to 776.56, 1,164.67 and 228.78

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Solution

The fourth proportional to 776.56, 1,164.67 and 228.78 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.56 : 1,164.67 = 228.78 : x
  2. Step 2: Convert to fraction form
    776.56/1,164.67 = 228.78/x
  3. Step 3: Cross multiply
    776.56x = 1,164.67 × 228.78
  4. Step 4: Simplify right side
    776.56x = 266,453.20
  5. Step 5: Solve for x
    x = 266,453.20/776.56
  6. Step 6: Final answer
    x = 343.12

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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.