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Finding the Fourth Proportional to 866.62, 1,297.65 and 593.26

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Solution

The fourth proportional to 866.62, 1,297.65 and 593.26 is: 888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.62 : 1,297.65 = 593.26 : x
  2. Step 2: Convert to fraction form
    866.62/1,297.65 = 593.26/x
  3. Step 3: Cross multiply
    866.62x = 1,297.65 × 593.26
  4. Step 4: Simplify right side
    866.62x = 769,843.84
  5. Step 5: Solve for x
    x = 769,843.84/866.62
  6. Step 6: Final answer
    x = 888.33

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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.