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Finding the Fourth Proportional to 1,324.26, 1,986.36 and 779.90

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Solution

The fourth proportional to 1,324.26, 1,986.36 and 779.90 is: 1,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.26 : 1,986.36 = 779.90 : x
  2. Step 2: Convert to fraction form
    1,324.26/1,986.36 = 779.90/x
  3. Step 3: Cross multiply
    1,324.26x = 1,986.36 × 779.90
  4. Step 4: Simplify right side
    1,324.26x = 1,549,152.23
  5. Step 5: Solve for x
    x = 1,549,152.23/1,324.26
  6. Step 6: Final answer
    x = 1,169.82

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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.