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Finding the Fourth Proportional to 869.12, 1,194.64 and 779.84

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Solution

The fourth proportional to 869.12, 1,194.64 and 779.84 is: 1,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.12 : 1,194.64 = 779.84 : x
  2. Step 2: Convert to fraction form
    869.12/1,194.64 = 779.84/x
  3. Step 3: Cross multiply
    869.12x = 1,194.64 × 779.84
  4. Step 4: Simplify right side
    869.12x = 931,628.06
  5. Step 5: Solve for x
    x = 931,628.06/869.12
  6. Step 6: Final answer
    x = 1,071.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.