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Finding the Fourth Proportional to 813.84, 1,221.97 and 801.69

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Solution

The fourth proportional to 813.84, 1,221.97 and 801.69 is: 1,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,221.97 = 801.69 : x
  2. Step 2: Convert to fraction form
    813.84/1,221.97 = 801.69/x
  3. Step 3: Cross multiply
    813.84x = 1,221.97 × 801.69
  4. Step 4: Simplify right side
    813.84x = 979,641.13
  5. Step 5: Solve for x
    x = 979,641.13/813.84
  6. Step 6: Final answer
    x = 1,203.73

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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.