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Finding the Fourth Proportional to 905.91, 1,251.26 and 656.83

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Solution

The fourth proportional to 905.91, 1,251.26 and 656.83 is: 907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.91 : 1,251.26 = 656.83 : x
  2. Step 2: Convert to fraction form
    905.91/1,251.26 = 656.83/x
  3. Step 3: Cross multiply
    905.91x = 1,251.26 × 656.83
  4. Step 4: Simplify right side
    905.91x = 821,865.11
  5. Step 5: Solve for x
    x = 821,865.11/905.91
  6. Step 6: Final answer
    x = 907.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.