Home / 1,288.80-1,933.20-519.12

Finding the Fourth Proportional to 1,288.80, 1,933.20 and 519.12

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Solution

The fourth proportional to 1,288.80, 1,933.20 and 519.12 is: 778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.80 : 1,933.20 = 519.12 : x
  2. Step 2: Convert to fraction form
    1,288.80/1,933.20 = 519.12/x
  3. Step 3: Cross multiply
    1,288.80x = 1,933.20 × 519.12
  4. Step 4: Simplify right side
    1,288.80x = 1,003,562.78
  5. Step 5: Solve for x
    x = 1,003,562.78/1,288.80
  6. Step 6: Final answer
    x = 778.68

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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.