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Finding the Fourth Proportional to 626.61, 938.70 and 431.58

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Solution

The fourth proportional to 626.61, 938.70 and 431.58 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.61 : 938.70 = 431.58 : x
  2. Step 2: Convert to fraction form
    626.61/938.70 = 431.58/x
  3. Step 3: Cross multiply
    626.61x = 938.70 × 431.58
  4. Step 4: Simplify right side
    626.61x = 405,124.15
  5. Step 5: Solve for x
    x = 405,124.15/626.61
  6. Step 6: Final answer
    x = 646.53

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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.