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Finding the Fourth Proportional to 848.27, 1,171.72 and 769.65

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Solution

The fourth proportional to 848.27, 1,171.72 and 769.65 is: 1,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.27 : 1,171.72 = 769.65 : x
  2. Step 2: Convert to fraction form
    848.27/1,171.72 = 769.65/x
  3. Step 3: Cross multiply
    848.27x = 1,171.72 × 769.65
  4. Step 4: Simplify right side
    848.27x = 901,813.13
  5. Step 5: Solve for x
    x = 901,813.13/848.27
  6. Step 6: Final answer
    x = 1,063.12

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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.