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Finding the Fourth Proportional to 852.47, 1,278.71 and 577.88

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Solution

The fourth proportional to 852.47, 1,278.71 and 577.88 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.47 : 1,278.71 = 577.88 : x
  2. Step 2: Convert to fraction form
    852.47/1,278.71 = 577.88/x
  3. Step 3: Cross multiply
    852.47x = 1,278.71 × 577.88
  4. Step 4: Simplify right side
    852.47x = 738,942.69
  5. Step 5: Solve for x
    x = 738,942.69/852.47
  6. Step 6: Final answer
    x = 866.82

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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.