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Finding the Fourth Proportional to 1,153.20, 1,729.48 and 331.25

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Solution

The fourth proportional to 1,153.20, 1,729.48 and 331.25 is: 496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.20 : 1,729.48 = 331.25 : x
  2. Step 2: Convert to fraction form
    1,153.20/1,729.48 = 331.25/x
  3. Step 3: Cross multiply
    1,153.20x = 1,729.48 × 331.25
  4. Step 4: Simplify right side
    1,153.20x = 572,890.25
  5. Step 5: Solve for x
    x = 572,890.25/1,153.20
  6. Step 6: Final answer
    x = 496.78

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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.