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Finding the Fourth Proportional to 852.82, 1,176 and 632.20

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Solution

The fourth proportional to 852.82, 1,176 and 632.20 is: 871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.82 : 1,176 = 632.20 : x
  2. Step 2: Convert to fraction form
    852.82/1,176 = 632.20/x
  3. Step 3: Cross multiply
    852.82x = 1,176 × 632.20
  4. Step 4: Simplify right side
    852.82x = 743,467.20
  5. Step 5: Solve for x
    x = 743,467.20/852.82
  6. Step 6: Final answer
    x = 871.78

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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.