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Finding the Fourth Proportional to 834.39, 1,249.40 and 704.07

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Solution

The fourth proportional to 834.39, 1,249.40 and 704.07 is: 1,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.39 : 1,249.40 = 704.07 : x
  2. Step 2: Convert to fraction form
    834.39/1,249.40 = 704.07/x
  3. Step 3: Cross multiply
    834.39x = 1,249.40 × 704.07
  4. Step 4: Simplify right side
    834.39x = 879,655.29
  5. Step 5: Solve for x
    x = 879,655.29/834.39
  6. Step 6: Final answer
    x = 1,054.25

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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.