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Finding the Fourth Proportional to 891.18, 1,343.55 and 828.54

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Solution

The fourth proportional to 891.18, 1,343.55 and 828.54 is: 1,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.18 : 1,343.55 = 828.54 : x
  2. Step 2: Convert to fraction form
    891.18/1,343.55 = 828.54/x
  3. Step 3: Cross multiply
    891.18x = 1,343.55 × 828.54
  4. Step 4: Simplify right side
    891.18x = 1,113,184.92
  5. Step 5: Solve for x
    x = 1,113,184.92/891.18
  6. Step 6: Final answer
    x = 1,249.11

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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.