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Finding the Fourth Proportional to 775.67, 1,164 and 313.83

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Solution

The fourth proportional to 775.67, 1,164 and 313.83 is: 470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.67 : 1,164 = 313.83 : x
  2. Step 2: Convert to fraction form
    775.67/1,164 = 313.83/x
  3. Step 3: Cross multiply
    775.67x = 1,164 × 313.83
  4. Step 4: Simplify right side
    775.67x = 365,298.12
  5. Step 5: Solve for x
    x = 365,298.12/775.67
  6. Step 6: Final answer
    x = 470.95

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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.