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Finding the Fourth Proportional to 835.19, 1,151.90 and 779.30

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Solution

The fourth proportional to 835.19, 1,151.90 and 779.30 is: 1,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.19 : 1,151.90 = 779.30 : x
  2. Step 2: Convert to fraction form
    835.19/1,151.90 = 779.30/x
  3. Step 3: Cross multiply
    835.19x = 1,151.90 × 779.30
  4. Step 4: Simplify right side
    835.19x = 897,673.26
  5. Step 5: Solve for x
    x = 897,673.26/835.19
  6. Step 6: Final answer
    x = 1,074.81

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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.