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Finding the Fourth Proportional to 824.55, 1,226.22 and 798.59

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Solution

The fourth proportional to 824.55, 1,226.22 and 798.59 is: 1,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.55 : 1,226.22 = 798.59 : x
  2. Step 2: Convert to fraction form
    824.55/1,226.22 = 798.59/x
  3. Step 3: Cross multiply
    824.55x = 1,226.22 × 798.59
  4. Step 4: Simplify right side
    824.55x = 979,240.90
  5. Step 5: Solve for x
    x = 979,240.90/824.55
  6. Step 6: Final answer
    x = 1,187.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.