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Finding the Fourth Proportional to 852.76, 1,169.57 and 817.48

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Solution

The fourth proportional to 852.76, 1,169.57 and 817.48 is: 1,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.76 : 1,169.57 = 817.48 : x
  2. Step 2: Convert to fraction form
    852.76/1,169.57 = 817.48/x
  3. Step 3: Cross multiply
    852.76x = 1,169.57 × 817.48
  4. Step 4: Simplify right side
    852.76x = 956,100.08
  5. Step 5: Solve for x
    x = 956,100.08/852.76
  6. Step 6: Final answer
    x = 1,121.18

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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.