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Finding the Fourth Proportional to 844.52, 1,266 and 715.34

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Solution

The fourth proportional to 844.52, 1,266 and 715.34 is: 1,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.52 : 1,266 = 715.34 : x
  2. Step 2: Convert to fraction form
    844.52/1,266 = 715.34/x
  3. Step 3: Cross multiply
    844.52x = 1,266 × 715.34
  4. Step 4: Simplify right side
    844.52x = 905,620.44
  5. Step 5: Solve for x
    x = 905,620.44/844.52
  6. Step 6: Final answer
    x = 1,072.35

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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.