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Finding the Fourth Proportional to 901.79, 1,352.73 and 381.27

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Solution

The fourth proportional to 901.79, 1,352.73 and 381.27 is: 571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.79 : 1,352.73 = 381.27 : x
  2. Step 2: Convert to fraction form
    901.79/1,352.73 = 381.27/x
  3. Step 3: Cross multiply
    901.79x = 1,352.73 × 381.27
  4. Step 4: Simplify right side
    901.79x = 515,755.37
  5. Step 5: Solve for x
    x = 515,755.37/901.79
  6. Step 6: Final answer
    x = 571.93

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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.