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Finding the Fourth Proportional to 891.12, 1,343.45 and 838.27

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Solution

The fourth proportional to 891.12, 1,343.45 and 838.27 is: 1,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.12 : 1,343.45 = 838.27 : x
  2. Step 2: Convert to fraction form
    891.12/1,343.45 = 838.27/x
  3. Step 3: Cross multiply
    891.12x = 1,343.45 × 838.27
  4. Step 4: Simplify right side
    891.12x = 1,126,173.83
  5. Step 5: Solve for x
    x = 1,126,173.83/891.12
  6. Step 6: Final answer
    x = 1,263.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.