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Finding the Fourth Proportional to 844.52, 1,267.02 and 613.64

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Solution

The fourth proportional to 844.52, 1,267.02 and 613.64 is: 920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.52 : 1,267.02 = 613.64 : x
  2. Step 2: Convert to fraction form
    844.52/1,267.02 = 613.64/x
  3. Step 3: Cross multiply
    844.52x = 1,267.02 × 613.64
  4. Step 4: Simplify right side
    844.52x = 777,494.15
  5. Step 5: Solve for x
    x = 777,494.15/844.52
  6. Step 6: Final answer
    x = 920.63

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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.