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Finding the Fourth Proportional to 844.63, 1,165.26 and 512.80

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Solution

The fourth proportional to 844.63, 1,165.26 and 512.80 is: 707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.63 : 1,165.26 = 512.80 : x
  2. Step 2: Convert to fraction form
    844.63/1,165.26 = 512.80/x
  3. Step 3: Cross multiply
    844.63x = 1,165.26 × 512.80
  4. Step 4: Simplify right side
    844.63x = 597,545.33
  5. Step 5: Solve for x
    x = 597,545.33/844.63
  6. Step 6: Final answer
    x = 707.46

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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.