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Finding the Fourth Proportional to 2,422.32, 3,633.48 and 690.96

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Solution

The fourth proportional to 2,422.32, 3,633.48 and 690.96 is: 1,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.32 : 3,633.48 = 690.96 : x
  2. Step 2: Convert to fraction form
    2,422.32/3,633.48 = 690.96/x
  3. Step 3: Cross multiply
    2,422.32x = 3,633.48 × 690.96
  4. Step 4: Simplify right side
    2,422.32x = 2,510,589.34
  5. Step 5: Solve for x
    x = 2,510,589.34/2,422.32
  6. Step 6: Final answer
    x = 1,036.44

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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.