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Finding the Fourth Proportional to 844.80, 1,165.80 and 534

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Solution

The fourth proportional to 844.80, 1,165.80 and 534 is: 736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,165.80 = 534 : x
  2. Step 2: Convert to fraction form
    844.80/1,165.80 = 534/x
  3. Step 3: Cross multiply
    844.80x = 1,165.80 × 534
  4. Step 4: Simplify right side
    844.80x = 622,537.20
  5. Step 5: Solve for x
    x = 622,537.20/844.80
  6. Step 6: Final answer
    x = 736.90

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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.