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Finding the Fourth Proportional to 852.68, 1,278.34 and 784.34

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Solution

The fourth proportional to 852.68, 1,278.34 and 784.34 is: 1,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.68 : 1,278.34 = 784.34 : x
  2. Step 2: Convert to fraction form
    852.68/1,278.34 = 784.34/x
  3. Step 3: Cross multiply
    852.68x = 1,278.34 × 784.34
  4. Step 4: Simplify right side
    852.68x = 1,002,653.20
  5. Step 5: Solve for x
    x = 1,002,653.20/852.68
  6. Step 6: Final answer
    x = 1,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.