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Finding the Fourth Proportional to 2,301.18, 3,451.11 and 657.29

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Solution

The fourth proportional to 2,301.18, 3,451.11 and 657.29 is: 985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.18 : 3,451.11 = 657.29 : x
  2. Step 2: Convert to fraction form
    2,301.18/3,451.11 = 657.29/x
  3. Step 3: Cross multiply
    2,301.18x = 3,451.11 × 657.29
  4. Step 4: Simplify right side
    2,301.18x = 2,268,380.09
  5. Step 5: Solve for x
    x = 2,268,380.09/2,301.18
  6. Step 6: Final answer
    x = 985.75

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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.