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Finding the Fourth Proportional to 1,039.50, 1,558.47 and 422.73

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Solution

The fourth proportional to 1,039.50, 1,558.47 and 422.73 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.50 : 1,558.47 = 422.73 : x
  2. Step 2: Convert to fraction form
    1,039.50/1,558.47 = 422.73/x
  3. Step 3: Cross multiply
    1,039.50x = 1,558.47 × 422.73
  4. Step 4: Simplify right side
    1,039.50x = 658,812.02
  5. Step 5: Solve for x
    x = 658,812.02/1,039.50
  6. Step 6: Final answer
    x = 633.78

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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.