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Finding the Fourth Proportional to 891.67, 1,331.42 and 798.52

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Solution

The fourth proportional to 891.67, 1,331.42 and 798.52 is: 1,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.67 : 1,331.42 = 798.52 : x
  2. Step 2: Convert to fraction form
    891.67/1,331.42 = 798.52/x
  3. Step 3: Cross multiply
    891.67x = 1,331.42 × 798.52
  4. Step 4: Simplify right side
    891.67x = 1,063,165.50
  5. Step 5: Solve for x
    x = 1,063,165.50/891.67
  6. Step 6: Final answer
    x = 1,192.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.