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Finding the Fourth Proportional to 851.71, 1,175.80 and 728.69

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Solution

The fourth proportional to 851.71, 1,175.80 and 728.69 is: 1,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.71 : 1,175.80 = 728.69 : x
  2. Step 2: Convert to fraction form
    851.71/1,175.80 = 728.69/x
  3. Step 3: Cross multiply
    851.71x = 1,175.80 × 728.69
  4. Step 4: Simplify right side
    851.71x = 856,793.70
  5. Step 5: Solve for x
    x = 856,793.70/851.71
  6. Step 6: Final answer
    x = 1,005.97

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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.