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Finding the Fourth Proportional to 2,230.85, 3,347.09 and 770.42

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Solution

The fourth proportional to 2,230.85, 3,347.09 and 770.42 is: 1,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.85 : 3,347.09 = 770.42 : x
  2. Step 2: Convert to fraction form
    2,230.85/3,347.09 = 770.42/x
  3. Step 3: Cross multiply
    2,230.85x = 3,347.09 × 770.42
  4. Step 4: Simplify right side
    2,230.85x = 2,578,665.08
  5. Step 5: Solve for x
    x = 2,578,665.08/2,230.85
  6. Step 6: Final answer
    x = 1,155.91

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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.