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Finding the Fourth Proportional to 1,072.40, 1,609.50 and 423.59

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Solution

The fourth proportional to 1,072.40, 1,609.50 and 423.59 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.40 : 1,609.50 = 423.59 : x
  2. Step 2: Convert to fraction form
    1,072.40/1,609.50 = 423.59/x
  3. Step 3: Cross multiply
    1,072.40x = 1,609.50 × 423.59
  4. Step 4: Simplify right side
    1,072.40x = 681,757.94
  5. Step 5: Solve for x
    x = 681,757.94/1,072.40
  6. Step 6: Final answer
    x = 635.73

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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.