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Finding the Fourth Proportional to 905.15, 1,250.13 and 609.91

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Solution

The fourth proportional to 905.15, 1,250.13 and 609.91 is: 842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.15 : 1,250.13 = 609.91 : x
  2. Step 2: Convert to fraction form
    905.15/1,250.13 = 609.91/x
  3. Step 3: Cross multiply
    905.15x = 1,250.13 × 609.91
  4. Step 4: Simplify right side
    905.15x = 762,466.79
  5. Step 5: Solve for x
    x = 762,466.79/905.15
  6. Step 6: Final answer
    x = 842.37

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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.