Home / 1,531.97-2,296.96-655.04

Finding the Fourth Proportional to 1,531.97, 2,296.96 and 655.04

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Solution

The fourth proportional to 1,531.97, 2,296.96 and 655.04 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.97 : 2,296.96 = 655.04 : x
  2. Step 2: Convert to fraction form
    1,531.97/2,296.96 = 655.04/x
  3. Step 3: Cross multiply
    1,531.97x = 2,296.96 × 655.04
  4. Step 4: Simplify right side
    1,531.97x = 1,504,607.24
  5. Step 5: Solve for x
    x = 1,504,607.24/1,531.97
  6. Step 6: Final answer
    x = 982.14

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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.