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Finding the Fourth Proportional to 1,340.58, 2,009.82 and 519.57

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Solution

The fourth proportional to 1,340.58, 2,009.82 and 519.57 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.58 : 2,009.82 = 519.57 : x
  2. Step 2: Convert to fraction form
    1,340.58/2,009.82 = 519.57/x
  3. Step 3: Cross multiply
    1,340.58x = 2,009.82 × 519.57
  4. Step 4: Simplify right side
    1,340.58x = 1,044,242.18
  5. Step 5: Solve for x
    x = 1,044,242.18/1,340.58
  6. Step 6: Final answer
    x = 778.95

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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.