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Finding the Fourth Proportional to 902.12, 1,245.06 and 726.92

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Solution

The fourth proportional to 902.12, 1,245.06 and 726.92 is: 1,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,245.06 = 726.92 : x
  2. Step 2: Convert to fraction form
    902.12/1,245.06 = 726.92/x
  3. Step 3: Cross multiply
    902.12x = 1,245.06 × 726.92
  4. Step 4: Simplify right side
    902.12x = 905,059.02
  5. Step 5: Solve for x
    x = 905,059.02/902.12
  6. Step 6: Final answer
    x = 1,003.26

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1.5x scale

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.