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Finding the Fourth Proportional to 891.48, 1,235.85 and 873.60

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Solution

The fourth proportional to 891.48, 1,235.85 and 873.60 is: 1,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.48 : 1,235.85 = 873.60 : x
  2. Step 2: Convert to fraction form
    891.48/1,235.85 = 873.60/x
  3. Step 3: Cross multiply
    891.48x = 1,235.85 × 873.60
  4. Step 4: Simplify right side
    891.48x = 1,079,638.56
  5. Step 5: Solve for x
    x = 1,079,638.56/891.48
  6. Step 6: Final answer
    x = 1,211.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.