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Finding the Fourth Proportional to 905.76, 1,249.47 and 573.62

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Solution

The fourth proportional to 905.76, 1,249.47 and 573.62 is: 791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.76 : 1,249.47 = 573.62 : x
  2. Step 2: Convert to fraction form
    905.76/1,249.47 = 573.62/x
  3. Step 3: Cross multiply
    905.76x = 1,249.47 × 573.62
  4. Step 4: Simplify right side
    905.76x = 716,714.73
  5. Step 5: Solve for x
    x = 716,714.73/905.76
  6. Step 6: Final answer
    x = 791.29

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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.