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Finding the Fourth Proportional to 1,682.90, 2,524.25 and 512.87

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Solution

The fourth proportional to 1,682.90, 2,524.25 and 512.87 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.90 : 2,524.25 = 512.87 : x
  2. Step 2: Convert to fraction form
    1,682.90/2,524.25 = 512.87/x
  3. Step 3: Cross multiply
    1,682.90x = 2,524.25 × 512.87
  4. Step 4: Simplify right side
    1,682.90x = 1,294,612.10
  5. Step 5: Solve for x
    x = 1,294,612.10/1,682.90
  6. Step 6: Final answer
    x = 769.27

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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.