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Finding the Fourth Proportional to 2,231.57, 3,347.81 and 770.78

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Solution

The fourth proportional to 2,231.57, 3,347.81 and 770.78 is: 1,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.57 : 3,347.81 = 770.78 : x
  2. Step 2: Convert to fraction form
    2,231.57/3,347.81 = 770.78/x
  3. Step 3: Cross multiply
    2,231.57x = 3,347.81 × 770.78
  4. Step 4: Simplify right side
    2,231.57x = 2,580,424.99
  5. Step 5: Solve for x
    x = 2,580,424.99/2,231.57
  6. Step 6: Final answer
    x = 1,156.33

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1.5x scale

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.