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Finding the Fourth Proportional to 866.87, 1,297.49 and 821.77

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Solution

The fourth proportional to 866.87, 1,297.49 and 821.77 is: 1,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.87 : 1,297.49 = 821.77 : x
  2. Step 2: Convert to fraction form
    866.87/1,297.49 = 821.77/x
  3. Step 3: Cross multiply
    866.87x = 1,297.49 × 821.77
  4. Step 4: Simplify right side
    866.87x = 1,066,231.00
  5. Step 5: Solve for x
    x = 1,066,231.00/866.87
  6. Step 6: Final answer
    x = 1,229.98

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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.