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Finding the Fourth Proportional to 905.20, 1,249.15 and 506.83

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Solution

The fourth proportional to 905.20, 1,249.15 and 506.83 is: 699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.20 : 1,249.15 = 506.83 : x
  2. Step 2: Convert to fraction form
    905.20/1,249.15 = 506.83/x
  3. Step 3: Cross multiply
    905.20x = 1,249.15 × 506.83
  4. Step 4: Simplify right side
    905.20x = 633,106.69
  5. Step 5: Solve for x
    x = 633,106.69/905.20
  6. Step 6: Final answer
    x = 699.41

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1.5x scale

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.