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Finding the Fourth Proportional to 872.01, 1,308.80 and 779.32

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Solution

The fourth proportional to 872.01, 1,308.80 and 779.32 is: 1,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.01 : 1,308.80 = 779.32 : x
  2. Step 2: Convert to fraction form
    872.01/1,308.80 = 779.32/x
  3. Step 3: Cross multiply
    872.01x = 1,308.80 × 779.32
  4. Step 4: Simplify right side
    872.01x = 1,019,974.02
  5. Step 5: Solve for x
    x = 1,019,974.02/872.01
  6. Step 6: Final answer
    x = 1,169.68

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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.