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Finding the Fourth Proportional to 1,340.75, 2,011.80 and 519.59

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Solution

The fourth proportional to 1,340.75, 2,011.80 and 519.59 is: 779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.75 : 2,011.80 = 519.59 : x
  2. Step 2: Convert to fraction form
    1,340.75/2,011.80 = 519.59/x
  3. Step 3: Cross multiply
    1,340.75x = 2,011.80 × 519.59
  4. Step 4: Simplify right side
    1,340.75x = 1,045,311.16
  5. Step 5: Solve for x
    x = 1,045,311.16/1,340.75
  6. Step 6: Final answer
    x = 779.65

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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.