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Finding the Fourth Proportional to 1,683.40, 2,524.86 and 529

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Solution

The fourth proportional to 1,683.40, 2,524.86 and 529 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.40 : 2,524.86 = 529 : x
  2. Step 2: Convert to fraction form
    1,683.40/2,524.86 = 529/x
  3. Step 3: Cross multiply
    1,683.40x = 2,524.86 × 529
  4. Step 4: Simplify right side
    1,683.40x = 1,335,650.94
  5. Step 5: Solve for x
    x = 1,335,650.94/1,683.40
  6. Step 6: Final answer
    x = 793.42

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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.