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Finding the Fourth Proportional to 936.55, 1,291.30 and 779.41

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Solution

The fourth proportional to 936.55, 1,291.30 and 779.41 is: 1,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.55 : 1,291.30 = 779.41 : x
  2. Step 2: Convert to fraction form
    936.55/1,291.30 = 779.41/x
  3. Step 3: Cross multiply
    936.55x = 1,291.30 × 779.41
  4. Step 4: Simplify right side
    936.55x = 1,006,452.13
  5. Step 5: Solve for x
    x = 1,006,452.13/936.55
  6. Step 6: Final answer
    x = 1,074.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.