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Finding the Fourth Proportional to 905.03, 1,249.31 and 765.87

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Solution

The fourth proportional to 905.03, 1,249.31 and 765.87 is: 1,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.03 : 1,249.31 = 765.87 : x
  2. Step 2: Convert to fraction form
    905.03/1,249.31 = 765.87/x
  3. Step 3: Cross multiply
    905.03x = 1,249.31 × 765.87
  4. Step 4: Simplify right side
    905.03x = 956,815.65
  5. Step 5: Solve for x
    x = 956,815.65/905.03
  6. Step 6: Final answer
    x = 1,057.22

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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.