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Finding the Fourth Proportional to 844.42, 1,265.85 and 775.24

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Solution

The fourth proportional to 844.42, 1,265.85 and 775.24 is: 1,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.42 : 1,265.85 = 775.24 : x
  2. Step 2: Convert to fraction form
    844.42/1,265.85 = 775.24/x
  3. Step 3: Cross multiply
    844.42x = 1,265.85 × 775.24
  4. Step 4: Simplify right side
    844.42x = 981,337.55
  5. Step 5: Solve for x
    x = 981,337.55/844.42
  6. Step 6: Final answer
    x = 1,162.14

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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.