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Finding the Fourth Proportional to 832.59, 1,249.47 and 422.01

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Solution

The fourth proportional to 832.59, 1,249.47 and 422.01 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.59 : 1,249.47 = 422.01 : x
  2. Step 2: Convert to fraction form
    832.59/1,249.47 = 422.01/x
  3. Step 3: Cross multiply
    832.59x = 1,249.47 × 422.01
  4. Step 4: Simplify right side
    832.59x = 527,288.83
  5. Step 5: Solve for x
    x = 527,288.83/832.59
  6. Step 6: Final answer
    x = 633.31

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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.