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Finding the Fourth Proportional to 626.09, 937.52 and 431.69

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Solution

The fourth proportional to 626.09, 937.52 and 431.69 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.09 : 937.52 = 431.69 : x
  2. Step 2: Convert to fraction form
    626.09/937.52 = 431.69/x
  3. Step 3: Cross multiply
    626.09x = 937.52 × 431.69
  4. Step 4: Simplify right side
    626.09x = 404,715.85
  5. Step 5: Solve for x
    x = 404,715.85/626.09
  6. Step 6: Final answer
    x = 646.42

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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.