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Finding the Fourth Proportional to 2,858.77, 4,288.43 and 778.69

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Solution

The fourth proportional to 2,858.77, 4,288.43 and 778.69 is: 1,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.77 : 4,288.43 = 778.69 : x
  2. Step 2: Convert to fraction form
    2,858.77/4,288.43 = 778.69/x
  3. Step 3: Cross multiply
    2,858.77x = 4,288.43 × 778.69
  4. Step 4: Simplify right side
    2,858.77x = 3,339,357.56
  5. Step 5: Solve for x
    x = 3,339,357.56/2,858.77
  6. Step 6: Final answer
    x = 1,168.11

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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.