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Finding the Fourth Proportional to 1,363.96, 2,043.98 and 777.75

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Solution

The fourth proportional to 1,363.96, 2,043.98 and 777.75 is: 1,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.96 : 2,043.98 = 777.75 : x
  2. Step 2: Convert to fraction form
    1,363.96/2,043.98 = 777.75/x
  3. Step 3: Cross multiply
    1,363.96x = 2,043.98 × 777.75
  4. Step 4: Simplify right side
    1,363.96x = 1,589,707.39
  5. Step 5: Solve for x
    x = 1,589,707.39/1,363.96
  6. Step 6: Final answer
    x = 1,165.51

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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.