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Finding the Fourth Proportional to 832.68, 1,249.14 and 319.80

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Solution

The fourth proportional to 832.68, 1,249.14 and 319.80 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.68 : 1,249.14 = 319.80 : x
  2. Step 2: Convert to fraction form
    832.68/1,249.14 = 319.80/x
  3. Step 3: Cross multiply
    832.68x = 1,249.14 × 319.80
  4. Step 4: Simplify right side
    832.68x = 399,474.97
  5. Step 5: Solve for x
    x = 399,474.97/832.68
  6. Step 6: Final answer
    x = 479.75

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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.