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Finding the Fourth Proportional to 901.38, 1,351.31 and 821.14

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Solution

The fourth proportional to 901.38, 1,351.31 and 821.14 is: 1,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.38 : 1,351.31 = 821.14 : x
  2. Step 2: Convert to fraction form
    901.38/1,351.31 = 821.14/x
  3. Step 3: Cross multiply
    901.38x = 1,351.31 × 821.14
  4. Step 4: Simplify right side
    901.38x = 1,109,614.69
  5. Step 5: Solve for x
    x = 1,109,614.69/901.38
  6. Step 6: Final answer
    x = 1,231.02

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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.