Home / 1,153.24-1,729.96-331.60

Finding the Fourth Proportional to 1,153.24, 1,729.96 and 331.60

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Solution

The fourth proportional to 1,153.24, 1,729.96 and 331.60 is: 497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.24 : 1,729.96 = 331.60 : x
  2. Step 2: Convert to fraction form
    1,153.24/1,729.96 = 331.60/x
  3. Step 3: Cross multiply
    1,153.24x = 1,729.96 × 331.60
  4. Step 4: Simplify right side
    1,153.24x = 573,654.74
  5. Step 5: Solve for x
    x = 573,654.74/1,153.24
  6. Step 6: Final answer
    x = 497.43

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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.