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Finding the Fourth Proportional to 832.38, 1,250.84 and 778.20

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Solution

The fourth proportional to 832.38, 1,250.84 and 778.20 is: 1,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.38 : 1,250.84 = 778.20 : x
  2. Step 2: Convert to fraction form
    832.38/1,250.84 = 778.20/x
  3. Step 3: Cross multiply
    832.38x = 1,250.84 × 778.20
  4. Step 4: Simplify right side
    832.38x = 973,403.69
  5. Step 5: Solve for x
    x = 973,403.69/832.38
  6. Step 6: Final answer
    x = 1,169.42

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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.