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Finding the Fourth Proportional to 902.12, 1,238.49 and 814.28

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Solution

The fourth proportional to 902.12, 1,238.49 and 814.28 is: 1,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.12 : 1,238.49 = 814.28 : x
  2. Step 2: Convert to fraction form
    902.12/1,238.49 = 814.28/x
  3. Step 3: Cross multiply
    902.12x = 1,238.49 × 814.28
  4. Step 4: Simplify right side
    902.12x = 1,008,477.64
  5. Step 5: Solve for x
    x = 1,008,477.64/902.12
  6. Step 6: Final answer
    x = 1,117.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.