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Finding the Fourth Proportional to 1,425.31, 2,137.97 and 399.31

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Solution

The fourth proportional to 1,425.31, 2,137.97 and 399.31 is: 598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.31 : 2,137.97 = 399.31 : x
  2. Step 2: Convert to fraction form
    1,425.31/2,137.97 = 399.31/x
  3. Step 3: Cross multiply
    1,425.31x = 2,137.97 × 399.31
  4. Step 4: Simplify right side
    1,425.31x = 853,712.80
  5. Step 5: Solve for x
    x = 853,712.80/1,425.31
  6. Step 6: Final answer
    x = 598.97

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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.