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Finding the Fourth Proportional to 832.46, 1,249.49 and 443.05

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Solution

The fourth proportional to 832.46, 1,249.49 and 443.05 is: 665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.46 : 1,249.49 = 443.05 : x
  2. Step 2: Convert to fraction form
    832.46/1,249.49 = 443.05/x
  3. Step 3: Cross multiply
    832.46x = 1,249.49 × 443.05
  4. Step 4: Simplify right side
    832.46x = 553,584.53
  5. Step 5: Solve for x
    x = 553,584.53/832.46
  6. Step 6: Final answer
    x = 665.00

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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.