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Finding the Fourth Proportional to 893.56, 1,232.90 and 520.31

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Solution

The fourth proportional to 893.56, 1,232.90 and 520.31 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.56 : 1,232.90 = 520.31 : x
  2. Step 2: Convert to fraction form
    893.56/1,232.90 = 520.31/x
  3. Step 3: Cross multiply
    893.56x = 1,232.90 × 520.31
  4. Step 4: Simplify right side
    893.56x = 641,491.98
  5. Step 5: Solve for x
    x = 641,491.98/893.56
  6. Step 6: Final answer
    x = 717.91

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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.