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Finding the Fourth Proportional to 905.83, 1,249.71 and 512.56

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Solution

The fourth proportional to 905.83, 1,249.71 and 512.56 is: 707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.83 : 1,249.71 = 512.56 : x
  2. Step 2: Convert to fraction form
    905.83/1,249.71 = 512.56/x
  3. Step 3: Cross multiply
    905.83x = 1,249.71 × 512.56
  4. Step 4: Simplify right side
    905.83x = 640,551.36
  5. Step 5: Solve for x
    x = 640,551.36/905.83
  6. Step 6: Final answer
    x = 707.14

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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.