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Finding the Fourth Proportional to 1,818.60, 2,727.62 and 519.78

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Solution

The fourth proportional to 1,818.60, 2,727.62 and 519.78 is: 779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.60 : 2,727.62 = 519.78 : x
  2. Step 2: Convert to fraction form
    1,818.60/2,727.62 = 519.78/x
  3. Step 3: Cross multiply
    1,818.60x = 2,727.62 × 519.78
  4. Step 4: Simplify right side
    1,818.60x = 1,417,762.32
  5. Step 5: Solve for x
    x = 1,417,762.32/1,818.60
  6. Step 6: Final answer
    x = 779.59

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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.