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Finding the Fourth Proportional to 2,301.22, 3,451.33 and 657.32

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Solution

The fourth proportional to 2,301.22, 3,451.33 and 657.32 is: 985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.22 : 3,451.33 = 657.32 : x
  2. Step 2: Convert to fraction form
    2,301.22/3,451.33 = 657.32/x
  3. Step 3: Cross multiply
    2,301.22x = 3,451.33 × 657.32
  4. Step 4: Simplify right side
    2,301.22x = 2,268,624.95
  5. Step 5: Solve for x
    x = 2,268,624.95/2,301.22
  6. Step 6: Final answer
    x = 985.84

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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.