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Finding the Fourth Proportional to 874.55, 1,205.87 and 828.38

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Solution

The fourth proportional to 874.55, 1,205.87 and 828.38 is: 1,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.55 : 1,205.87 = 828.38 : x
  2. Step 2: Convert to fraction form
    874.55/1,205.87 = 828.38/x
  3. Step 3: Cross multiply
    874.55x = 1,205.87 × 828.38
  4. Step 4: Simplify right side
    874.55x = 998,908.42
  5. Step 5: Solve for x
    x = 998,908.42/874.55
  6. Step 6: Final answer
    x = 1,142.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.