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Finding the Fourth Proportional to 905.26, 1,249.24 and 491.26

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Solution

The fourth proportional to 905.26, 1,249.24 and 491.26 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,249.24 = 491.26 : x
  2. Step 2: Convert to fraction form
    905.26/1,249.24 = 491.26/x
  3. Step 3: Cross multiply
    905.26x = 1,249.24 × 491.26
  4. Step 4: Simplify right side
    905.26x = 613,701.64
  5. Step 5: Solve for x
    x = 613,701.64/905.26
  6. Step 6: Final answer
    x = 677.93

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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.