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Finding the Fourth Proportional to 832.89, 1,249.79 and 371.01

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Solution

The fourth proportional to 832.89, 1,249.79 and 371.01 is: 556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.89 : 1,249.79 = 371.01 : x
  2. Step 2: Convert to fraction form
    832.89/1,249.79 = 371.01/x
  3. Step 3: Cross multiply
    832.89x = 1,249.79 × 371.01
  4. Step 4: Simplify right side
    832.89x = 463,682.73
  5. Step 5: Solve for x
    x = 463,682.73/832.89
  6. Step 6: Final answer
    x = 556.72

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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.