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Finding the Fourth Proportional to 908.21, 1,361.71 and 859.51

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Solution

The fourth proportional to 908.21, 1,361.71 and 859.51 is: 1,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.21 : 1,361.71 = 859.51 : x
  2. Step 2: Convert to fraction form
    908.21/1,361.71 = 859.51/x
  3. Step 3: Cross multiply
    908.21x = 1,361.71 × 859.51
  4. Step 4: Simplify right side
    908.21x = 1,170,406.14
  5. Step 5: Solve for x
    x = 1,170,406.14/908.21
  6. Step 6: Final answer
    x = 1,288.69

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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.