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Finding the Fourth Proportional to 1,683.10, 2,523.84 and 642.79

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Solution

The fourth proportional to 1,683.10, 2,523.84 and 642.79 is: 963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.10 : 2,523.84 = 642.79 : x
  2. Step 2: Convert to fraction form
    1,683.10/2,523.84 = 642.79/x
  3. Step 3: Cross multiply
    1,683.10x = 2,523.84 × 642.79
  4. Step 4: Simplify right side
    1,683.10x = 1,622,299.11
  5. Step 5: Solve for x
    x = 1,622,299.11/1,683.10
  6. Step 6: Final answer
    x = 963.88

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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.