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Finding the Fourth Proportional to 746.82, 1,120.50 and 438.75

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Solution

The fourth proportional to 746.82, 1,120.50 and 438.75 is: 658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.82 : 1,120.50 = 438.75 : x
  2. Step 2: Convert to fraction form
    746.82/1,120.50 = 438.75/x
  3. Step 3: Cross multiply
    746.82x = 1,120.50 × 438.75
  4. Step 4: Simplify right side
    746.82x = 491,619.38
  5. Step 5: Solve for x
    x = 491,619.38/746.82
  6. Step 6: Final answer
    x = 658.28

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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.