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Finding the Fourth Proportional to 832.83, 1,249.38 and 678.39

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Solution

The fourth proportional to 832.83, 1,249.38 and 678.39 is: 1,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.83 : 1,249.38 = 678.39 : x
  2. Step 2: Convert to fraction form
    832.83/1,249.38 = 678.39/x
  3. Step 3: Cross multiply
    832.83x = 1,249.38 × 678.39
  4. Step 4: Simplify right side
    832.83x = 847,566.90
  5. Step 5: Solve for x
    x = 847,566.90/832.83
  6. Step 6: Final answer
    x = 1,017.69

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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.