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Finding the Fourth Proportional to 2,238.18, 3,355.86 and 777.45

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Solution

The fourth proportional to 2,238.18, 3,355.86 and 777.45 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.18 : 3,355.86 = 777.45 : x
  2. Step 2: Convert to fraction form
    2,238.18/3,355.86 = 777.45/x
  3. Step 3: Cross multiply
    2,238.18x = 3,355.86 × 777.45
  4. Step 4: Simplify right side
    2,238.18x = 2,609,013.36
  5. Step 5: Solve for x
    x = 2,609,013.36/2,238.18
  6. Step 6: Final answer
    x = 1,165.69

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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.