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Finding the Fourth Proportional to 1,682.44, 2,523.32 and 642.21

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Solution

The fourth proportional to 1,682.44, 2,523.32 and 642.21 is: 963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.44 : 2,523.32 = 642.21 : x
  2. Step 2: Convert to fraction form
    1,682.44/2,523.32 = 642.21/x
  3. Step 3: Cross multiply
    1,682.44x = 2,523.32 × 642.21
  4. Step 4: Simplify right side
    1,682.44x = 1,620,498.13
  5. Step 5: Solve for x
    x = 1,620,498.13/1,682.44
  6. Step 6: Final answer
    x = 963.18

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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.