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Finding the Fourth Proportional to 1,327.56, 1,990.74 and 779.91

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Solution

The fourth proportional to 1,327.56, 1,990.74 and 779.91 is: 1,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.56 : 1,990.74 = 779.91 : x
  2. Step 2: Convert to fraction form
    1,327.56/1,990.74 = 779.91/x
  3. Step 3: Cross multiply
    1,327.56x = 1,990.74 × 779.91
  4. Step 4: Simplify right side
    1,327.56x = 1,552,598.03
  5. Step 5: Solve for x
    x = 1,552,598.03/1,327.56
  6. Step 6: Final answer
    x = 1,169.51

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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.