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Finding the Fourth Proportional to 896.50, 1,237.17 and 503.52

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Solution

The fourth proportional to 896.50, 1,237.17 and 503.52 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.50 : 1,237.17 = 503.52 : x
  2. Step 2: Convert to fraction form
    896.50/1,237.17 = 503.52/x
  3. Step 3: Cross multiply
    896.50x = 1,237.17 × 503.52
  4. Step 4: Simplify right side
    896.50x = 622,939.84
  5. Step 5: Solve for x
    x = 622,939.84/896.50
  6. Step 6: Final answer
    x = 694.86

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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.