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Finding the Fourth Proportional to 852.76, 1,175.88 and 769.84

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Solution

The fourth proportional to 852.76, 1,175.88 and 769.84 is: 1,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.76 : 1,175.88 = 769.84 : x
  2. Step 2: Convert to fraction form
    852.76/1,175.88 = 769.84/x
  3. Step 3: Cross multiply
    852.76x = 1,175.88 × 769.84
  4. Step 4: Simplify right side
    852.76x = 905,239.46
  5. Step 5: Solve for x
    x = 905,239.46/852.76
  6. Step 6: Final answer
    x = 1,061.54

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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.