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Finding the Fourth Proportional to 832.86, 1,249.38 and 255.78

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Solution

The fourth proportional to 832.86, 1,249.38 and 255.78 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.86 : 1,249.38 = 255.78 : x
  2. Step 2: Convert to fraction form
    832.86/1,249.38 = 255.78/x
  3. Step 3: Cross multiply
    832.86x = 1,249.38 × 255.78
  4. Step 4: Simplify right side
    832.86x = 319,566.42
  5. Step 5: Solve for x
    x = 319,566.42/832.86
  6. Step 6: Final answer
    x = 383.70

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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.