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Finding the Fourth Proportional to 2,298.87, 3,447.79 and 655.38

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Solution

The fourth proportional to 2,298.87, 3,447.79 and 655.38 is: 982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.87 : 3,447.79 = 655.38 : x
  2. Step 2: Convert to fraction form
    2,298.87/3,447.79 = 655.38/x
  3. Step 3: Cross multiply
    2,298.87x = 3,447.79 × 655.38
  4. Step 4: Simplify right side
    2,298.87x = 2,259,610.97
  5. Step 5: Solve for x
    x = 2,259,610.97/2,298.87
  6. Step 6: Final answer
    x = 982.92

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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.