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Finding the Fourth Proportional to 834.72, 1,249.20 and 772.80

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Solution

The fourth proportional to 834.72, 1,249.20 and 772.80 is: 1,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.72 : 1,249.20 = 772.80 : x
  2. Step 2: Convert to fraction form
    834.72/1,249.20 = 772.80/x
  3. Step 3: Cross multiply
    834.72x = 1,249.20 × 772.80
  4. Step 4: Simplify right side
    834.72x = 965,381.76
  5. Step 5: Solve for x
    x = 965,381.76/834.72
  6. Step 6: Final answer
    x = 1,156.53

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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.