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Finding the Fourth Proportional to 2,231.66, 3,349.02 and 770.81

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Solution

The fourth proportional to 2,231.66, 3,349.02 and 770.81 is: 1,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.66 : 3,349.02 = 770.81 : x
  2. Step 2: Convert to fraction form
    2,231.66/3,349.02 = 770.81/x
  3. Step 3: Cross multiply
    2,231.66x = 3,349.02 × 770.81
  4. Step 4: Simplify right side
    2,231.66x = 2,581,456.18
  5. Step 5: Solve for x
    x = 2,581,456.18/2,231.66
  6. Step 6: Final answer
    x = 1,156.75

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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.