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Finding the Fourth Proportional to 852.32, 1,171.11 and 677.36

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Solution

The fourth proportional to 852.32, 1,171.11 and 677.36 is: 930.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,171.11 = 677.36 : x
  2. Step 2: Convert to fraction form
    852.32/1,171.11 = 677.36/x
  3. Step 3: Cross multiply
    852.32x = 1,171.11 × 677.36
  4. Step 4: Simplify right side
    852.32x = 793,264.73
  5. Step 5: Solve for x
    x = 793,264.73/852.32
  6. Step 6: Final answer
    x = 930.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.