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Finding the Fourth Proportional to 776.40, 1,163.82 and 314.10

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Solution

The fourth proportional to 776.40, 1,163.82 and 314.10 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,163.82 = 314.10 : x
  2. Step 2: Convert to fraction form
    776.40/1,163.82 = 314.10/x
  3. Step 3: Cross multiply
    776.40x = 1,163.82 × 314.10
  4. Step 4: Simplify right side
    776.40x = 365,555.86
  5. Step 5: Solve for x
    x = 365,555.86/776.40
  6. Step 6: Final answer
    x = 470.83

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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.