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Finding the Fourth Proportional to 901.52, 1,351.05 and 794.60

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Solution

The fourth proportional to 901.52, 1,351.05 and 794.60 is: 1,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.52 : 1,351.05 = 794.60 : x
  2. Step 2: Convert to fraction form
    901.52/1,351.05 = 794.60/x
  3. Step 3: Cross multiply
    901.52x = 1,351.05 × 794.60
  4. Step 4: Simplify right side
    901.52x = 1,073,537.57
  5. Step 5: Solve for x
    x = 1,073,537.57/901.52
  6. Step 6: Final answer
    x = 1,190.81

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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.