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Finding the Fourth Proportional to 2,194.29, 3,291.96 and 655.25

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Solution

The fourth proportional to 2,194.29, 3,291.96 and 655.25 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.29 : 3,291.96 = 655.25 : x
  2. Step 2: Convert to fraction form
    2,194.29/3,291.96 = 655.25/x
  3. Step 3: Cross multiply
    2,194.29x = 3,291.96 × 655.25
  4. Step 4: Simplify right side
    2,194.29x = 2,157,053.51
  5. Step 5: Solve for x
    x = 2,157,053.51/2,194.29
  6. Step 6: Final answer
    x = 983.03

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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.