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Finding the Fourth Proportional to 1,039.11, 1,558.71 and 422.79

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Solution

The fourth proportional to 1,039.11, 1,558.71 and 422.79 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.11 : 1,558.71 = 422.79 : x
  2. Step 2: Convert to fraction form
    1,039.11/1,558.71 = 422.79/x
  3. Step 3: Cross multiply
    1,039.11x = 1,558.71 × 422.79
  4. Step 4: Simplify right side
    1,039.11x = 659,007.00
  5. Step 5: Solve for x
    x = 659,007.00/1,039.11
  6. Step 6: Final answer
    x = 634.20

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Double scale
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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.