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Finding the Fourth Proportional to 891.11, 1,334.87 and 746.31

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Solution

The fourth proportional to 891.11, 1,334.87 and 746.31 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.11 : 1,334.87 = 746.31 : x
  2. Step 2: Convert to fraction form
    891.11/1,334.87 = 746.31/x
  3. Step 3: Cross multiply
    891.11x = 1,334.87 × 746.31
  4. Step 4: Simplify right side
    891.11x = 996,226.83
  5. Step 5: Solve for x
    x = 996,226.83/891.11
  6. Step 6: Final answer
    x = 1,117.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.