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Finding the Fourth Proportional to 776.46, 1,164.68 and 228.64

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Solution

The fourth proportional to 776.46, 1,164.68 and 228.64 is: 342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.46 : 1,164.68 = 228.64 : x
  2. Step 2: Convert to fraction form
    776.46/1,164.68 = 228.64/x
  3. Step 3: Cross multiply
    776.46x = 1,164.68 × 228.64
  4. Step 4: Simplify right side
    776.46x = 266,292.44
  5. Step 5: Solve for x
    x = 266,292.44/776.46
  6. Step 6: Final answer
    x = 342.96

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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.