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Finding the Fourth Proportional to 1,040.39, 1,559.24 and 423.38

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Solution

The fourth proportional to 1,040.39, 1,559.24 and 423.38 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.39 : 1,559.24 = 423.38 : x
  2. Step 2: Convert to fraction form
    1,040.39/1,559.24 = 423.38/x
  3. Step 3: Cross multiply
    1,040.39x = 1,559.24 × 423.38
  4. Step 4: Simplify right side
    1,040.39x = 660,144.29
  5. Step 5: Solve for x
    x = 660,144.29/1,040.39
  6. Step 6: Final answer
    x = 634.51

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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.