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Finding the Fourth Proportional to 776.44, 1,163.80 and 314.16

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Solution

The fourth proportional to 776.44, 1,163.80 and 314.16 is: 470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,163.80 = 314.16 : x
  2. Step 2: Convert to fraction form
    776.44/1,163.80 = 314.16/x
  3. Step 3: Cross multiply
    776.44x = 1,163.80 × 314.16
  4. Step 4: Simplify right side
    776.44x = 365,619.41
  5. Step 5: Solve for x
    x = 365,619.41/776.44
  6. Step 6: Final answer
    x = 470.89

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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.