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Finding the Fourth Proportional to 1,021.87, 1,536.72 and 814.11

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Solution

The fourth proportional to 1,021.87, 1,536.72 and 814.11 is: 1,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.87 : 1,536.72 = 814.11 : x
  2. Step 2: Convert to fraction form
    1,021.87/1,536.72 = 814.11/x
  3. Step 3: Cross multiply
    1,021.87x = 1,536.72 × 814.11
  4. Step 4: Simplify right side
    1,021.87x = 1,251,059.12
  5. Step 5: Solve for x
    x = 1,251,059.12/1,021.87
  6. Step 6: Final answer
    x = 1,224.28

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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.