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Finding the Fourth Proportional to 896.52, 1,234.39 and 814.51

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Solution

The fourth proportional to 896.52, 1,234.39 and 814.51 is: 1,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.52 : 1,234.39 = 814.51 : x
  2. Step 2: Convert to fraction form
    896.52/1,234.39 = 814.51/x
  3. Step 3: Cross multiply
    896.52x = 1,234.39 × 814.51
  4. Step 4: Simplify right side
    896.52x = 1,005,412.75
  5. Step 5: Solve for x
    x = 1,005,412.75/896.52
  6. Step 6: Final answer
    x = 1,121.46

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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.