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Finding the Fourth Proportional to 773.89, 1,161.68 and 311.99

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Solution

The fourth proportional to 773.89, 1,161.68 and 311.99 is: 468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,161.68 = 311.99 : x
  2. Step 2: Convert to fraction form
    773.89/1,161.68 = 311.99/x
  3. Step 3: Cross multiply
    773.89x = 1,161.68 × 311.99
  4. Step 4: Simplify right side
    773.89x = 362,425.17
  5. Step 5: Solve for x
    x = 362,425.17/773.89
  6. Step 6: Final answer
    x = 468.32

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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.