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Finding the Fourth Proportional to 1,682.61, 2,523.36 and 642.57

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Solution

The fourth proportional to 1,682.61, 2,523.36 and 642.57 is: 963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.61 : 2,523.36 = 642.57 : x
  2. Step 2: Convert to fraction form
    1,682.61/2,523.36 = 642.57/x
  3. Step 3: Cross multiply
    1,682.61x = 2,523.36 × 642.57
  4. Step 4: Simplify right side
    1,682.61x = 1,621,435.44
  5. Step 5: Solve for x
    x = 1,621,435.44/1,682.61
  6. Step 6: Final answer
    x = 963.64

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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.