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Finding the Fourth Proportional to 1,331.79, 1,997.92 and 601.43

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Solution

The fourth proportional to 1,331.79, 1,997.92 and 601.43 is: 902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.79 : 1,997.92 = 601.43 : x
  2. Step 2: Convert to fraction form
    1,331.79/1,997.92 = 601.43/x
  3. Step 3: Cross multiply
    1,331.79x = 1,997.92 × 601.43
  4. Step 4: Simplify right side
    1,331.79x = 1,201,596.40
  5. Step 5: Solve for x
    x = 1,201,596.40/1,331.79
  6. Step 6: Final answer
    x = 902.24

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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.