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Finding the Fourth Proportional to 2,241.50, 3,362.85 and 780.77

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Solution

The fourth proportional to 2,241.50, 3,362.85 and 780.77 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.50 : 3,362.85 = 780.77 : x
  2. Step 2: Convert to fraction form
    2,241.50/3,362.85 = 780.77/x
  3. Step 3: Cross multiply
    2,241.50x = 3,362.85 × 780.77
  4. Step 4: Simplify right side
    2,241.50x = 2,625,620.80
  5. Step 5: Solve for x
    x = 2,625,620.80/2,241.50
  6. Step 6: Final answer
    x = 1,171.37

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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.