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Finding the Fourth Proportional to 2,238.42, 3,357.96 and 777.18

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Solution

The fourth proportional to 2,238.42, 3,357.96 and 777.18 is: 1,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.42 : 3,357.96 = 777.18 : x
  2. Step 2: Convert to fraction form
    2,238.42/3,357.96 = 777.18/x
  3. Step 3: Cross multiply
    2,238.42x = 3,357.96 × 777.18
  4. Step 4: Simplify right side
    2,238.42x = 2,609,739.35
  5. Step 5: Solve for x
    x = 2,609,739.35/2,238.42
  6. Step 6: Final answer
    x = 1,165.88

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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.