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Finding the Fourth Proportional to 1,039.37, 1,558.38 and 423.14

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Solution

The fourth proportional to 1,039.37, 1,558.38 and 423.14 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.37 : 1,558.38 = 423.14 : x
  2. Step 2: Convert to fraction form
    1,039.37/1,558.38 = 423.14/x
  3. Step 3: Cross multiply
    1,039.37x = 1,558.38 × 423.14
  4. Step 4: Simplify right side
    1,039.37x = 659,412.91
  5. Step 5: Solve for x
    x = 659,412.91/1,039.37
  6. Step 6: Final answer
    x = 634.44

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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.