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Finding the Fourth Proportional to 852.14, 1,278.81 and 577.55

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Solution

The fourth proportional to 852.14, 1,278.81 and 577.55 is: 866.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.14 : 1,278.81 = 577.55 : x
  2. Step 2: Convert to fraction form
    852.14/1,278.81 = 577.55/x
  3. Step 3: Cross multiply
    852.14x = 1,278.81 × 577.55
  4. Step 4: Simplify right side
    852.14x = 738,576.72
  5. Step 5: Solve for x
    x = 738,576.72/852.14
  6. Step 6: Final answer
    x = 866.73

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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.