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Finding the Fourth Proportional to 832.91, 1,249.35 and 277.62

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Solution

The fourth proportional to 832.91, 1,249.35 and 277.62 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.91 : 1,249.35 = 277.62 : x
  2. Step 2: Convert to fraction form
    832.91/1,249.35 = 277.62/x
  3. Step 3: Cross multiply
    832.91x = 1,249.35 × 277.62
  4. Step 4: Simplify right side
    832.91x = 346,844.55
  5. Step 5: Solve for x
    x = 346,844.55/832.91
  6. Step 6: Final answer
    x = 416.43

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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.