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Finding the Fourth Proportional to 1,361.79, 2,041.11 and 777.12

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Solution

The fourth proportional to 1,361.79, 2,041.11 and 777.12 is: 1,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.79 : 2,041.11 = 777.12 : x
  2. Step 2: Convert to fraction form
    1,361.79/2,041.11 = 777.12/x
  3. Step 3: Cross multiply
    1,361.79x = 2,041.11 × 777.12
  4. Step 4: Simplify right side
    1,361.79x = 1,586,187.40
  5. Step 5: Solve for x
    x = 1,586,187.40/1,361.79
  6. Step 6: Final answer
    x = 1,164.78

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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.