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Finding the Fourth Proportional to 852.80, 1,169.32 and 769.58

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Solution

The fourth proportional to 852.80, 1,169.32 and 769.58 is: 1,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.80 : 1,169.32 = 769.58 : x
  2. Step 2: Convert to fraction form
    852.80/1,169.32 = 769.58/x
  3. Step 3: Cross multiply
    852.80x = 1,169.32 × 769.58
  4. Step 4: Simplify right side
    852.80x = 899,885.29
  5. Step 5: Solve for x
    x = 899,885.29/852.80
  6. Step 6: Final answer
    x = 1,055.21

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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.