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Finding the Fourth Proportional to 2,238.66, 3,357.89 and 777.93

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Solution

The fourth proportional to 2,238.66, 3,357.89 and 777.93 is: 1,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.66 : 3,357.89 = 777.93 : x
  2. Step 2: Convert to fraction form
    2,238.66/3,357.89 = 777.93/x
  3. Step 3: Cross multiply
    2,238.66x = 3,357.89 × 777.93
  4. Step 4: Simplify right side
    2,238.66x = 2,612,186.58
  5. Step 5: Solve for x
    x = 2,612,186.58/2,238.66
  6. Step 6: Final answer
    x = 1,166.85

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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.