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Finding the Fourth Proportional to 1,581.59, 2,372.39 and 427.31

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Solution

The fourth proportional to 1,581.59, 2,372.39 and 427.31 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.59 : 2,372.39 = 427.31 : x
  2. Step 2: Convert to fraction form
    1,581.59/2,372.39 = 427.31/x
  3. Step 3: Cross multiply
    1,581.59x = 2,372.39 × 427.31
  4. Step 4: Simplify right side
    1,581.59x = 1,013,745.97
  5. Step 5: Solve for x
    x = 1,013,745.97/1,581.59
  6. Step 6: Final answer
    x = 640.97

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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.