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Finding the Fourth Proportional to 800.52, 1,105.24 and 490.56

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Solution

The fourth proportional to 800.52, 1,105.24 and 490.56 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.52 : 1,105.24 = 490.56 : x
  2. Step 2: Convert to fraction form
    800.52/1,105.24 = 490.56/x
  3. Step 3: Cross multiply
    800.52x = 1,105.24 × 490.56
  4. Step 4: Simplify right side
    800.52x = 542,186.53
  5. Step 5: Solve for x
    x = 542,186.53/800.52
  6. Step 6: Final answer
    x = 677.29

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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.