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Finding the Fourth Proportional to 1,553.54, 2,330.31 and 399.29

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Solution

The fourth proportional to 1,553.54, 2,330.31 and 399.29 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.54 : 2,330.31 = 399.29 : x
  2. Step 2: Convert to fraction form
    1,553.54/2,330.31 = 399.29/x
  3. Step 3: Cross multiply
    1,553.54x = 2,330.31 × 399.29
  4. Step 4: Simplify right side
    1,553.54x = 930,469.48
  5. Step 5: Solve for x
    x = 930,469.48/1,553.54
  6. Step 6: Final answer
    x = 598.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.