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Finding the Fourth Proportional to 2,260.76, 3,390.93 and 779.97

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Solution

The fourth proportional to 2,260.76, 3,390.93 and 779.97 is: 1,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.76 : 3,390.93 = 779.97 : x
  2. Step 2: Convert to fraction form
    2,260.76/3,390.93 = 779.97/x
  3. Step 3: Cross multiply
    2,260.76x = 3,390.93 × 779.97
  4. Step 4: Simplify right side
    2,260.76x = 2,644,823.67
  5. Step 5: Solve for x
    x = 2,644,823.67/2,260.76
  6. Step 6: Final answer
    x = 1,169.89

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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.