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Finding the Fourth Proportional to 776.82, 1,165.38 and 228.96

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Solution

The fourth proportional to 776.82, 1,165.38 and 228.96 is: 343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.82 : 1,165.38 = 228.96 : x
  2. Step 2: Convert to fraction form
    776.82/1,165.38 = 228.96/x
  3. Step 3: Cross multiply
    776.82x = 1,165.38 × 228.96
  4. Step 4: Simplify right side
    776.82x = 266,825.40
  5. Step 5: Solve for x
    x = 266,825.40/776.82
  6. Step 6: Final answer
    x = 343.48

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1.5x scale

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.