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Finding the Fourth Proportional to 905.68, 1,250.86 and 610.44

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Solution

The fourth proportional to 905.68, 1,250.86 and 610.44 is: 843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.68 : 1,250.86 = 610.44 : x
  2. Step 2: Convert to fraction form
    905.68/1,250.86 = 610.44/x
  3. Step 3: Cross multiply
    905.68x = 1,250.86 × 610.44
  4. Step 4: Simplify right side
    905.68x = 763,574.98
  5. Step 5: Solve for x
    x = 763,574.98/905.68
  6. Step 6: Final answer
    x = 843.10

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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.