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Finding the Fourth Proportional to 1,682.86, 2,524.89 and 528.61

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Solution

The fourth proportional to 1,682.86, 2,524.89 and 528.61 is: 793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.86 : 2,524.89 = 528.61 : x
  2. Step 2: Convert to fraction form
    1,682.86/2,524.89 = 528.61/x
  3. Step 3: Cross multiply
    1,682.86x = 2,524.89 × 528.61
  4. Step 4: Simplify right side
    1,682.86x = 1,334,682.10
  5. Step 5: Solve for x
    x = 1,334,682.10/1,682.86
  6. Step 6: Final answer
    x = 793.10

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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.