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Finding the Fourth Proportional to 852.82, 1,171.80 and 677.86

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Solution

The fourth proportional to 852.82, 1,171.80 and 677.86 is: 931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.82 : 1,171.80 = 677.86 : x
  2. Step 2: Convert to fraction form
    852.82/1,171.80 = 677.86/x
  3. Step 3: Cross multiply
    852.82x = 1,171.80 × 677.86
  4. Step 4: Simplify right side
    852.82x = 794,315.89
  5. Step 5: Solve for x
    x = 794,315.89/852.82
  6. Step 6: Final answer
    x = 931.40

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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.