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Finding the Fourth Proportional to 832.88, 1,249.68 and 448

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Solution

The fourth proportional to 832.88, 1,249.68 and 448 is: 672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,249.68 = 448 : x
  2. Step 2: Convert to fraction form
    832.88/1,249.68 = 448/x
  3. Step 3: Cross multiply
    832.88x = 1,249.68 × 448
  4. Step 4: Simplify right side
    832.88x = 559,856.64
  5. Step 5: Solve for x
    x = 559,856.64/832.88
  6. Step 6: Final answer
    x = 672.19

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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.