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Finding the Fourth Proportional to 821.81, 1,232.24 and 273.70

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Solution

The fourth proportional to 821.81, 1,232.24 and 273.70 is: 410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,232.24 = 273.70 : x
  2. Step 2: Convert to fraction form
    821.81/1,232.24 = 273.70/x
  3. Step 3: Cross multiply
    821.81x = 1,232.24 × 273.70
  4. Step 4: Simplify right side
    821.81x = 337,257.93
  5. Step 5: Solve for x
    x = 337,257.93/821.81
  6. Step 6: Final answer
    x = 410.39

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1.5x scale

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.