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Finding the Fourth Proportional to 821.04, 1,221.48 and 789.36

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Solution

The fourth proportional to 821.04, 1,221.48 and 789.36 is: 1,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,221.48 = 789.36 : x
  2. Step 2: Convert to fraction form
    821.04/1,221.48 = 789.36/x
  3. Step 3: Cross multiply
    821.04x = 1,221.48 × 789.36
  4. Step 4: Simplify right side
    821.04x = 964,187.45
  5. Step 5: Solve for x
    x = 964,187.45/821.04
  6. Step 6: Final answer
    x = 1,174.35

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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.