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Finding the Fourth Proportional to 902.79, 1,351.29 and 485.28

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Solution

The fourth proportional to 902.79, 1,351.29 and 485.28 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.79 : 1,351.29 = 485.28 : x
  2. Step 2: Convert to fraction form
    902.79/1,351.29 = 485.28/x
  3. Step 3: Cross multiply
    902.79x = 1,351.29 × 485.28
  4. Step 4: Simplify right side
    902.79x = 655,755.83
  5. Step 5: Solve for x
    x = 655,755.83/902.79
  6. Step 6: Final answer
    x = 726.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.