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Finding the Fourth Proportional to 896.44, 1,237.09 and 503.47

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Solution

The fourth proportional to 896.44, 1,237.09 and 503.47 is: 694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.44 : 1,237.09 = 503.47 : x
  2. Step 2: Convert to fraction form
    896.44/1,237.09 = 503.47/x
  3. Step 3: Cross multiply
    896.44x = 1,237.09 × 503.47
  4. Step 4: Simplify right side
    896.44x = 622,833.35
  5. Step 5: Solve for x
    x = 622,833.35/896.44
  6. Step 6: Final answer
    x = 694.79

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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.