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Finding the Fourth Proportional to 493.95, 739.61 and 431.68

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Solution

The fourth proportional to 493.95, 739.61 and 431.68 is: 646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.95 : 739.61 = 431.68 : x
  2. Step 2: Convert to fraction form
    493.95/739.61 = 431.68/x
  3. Step 3: Cross multiply
    493.95x = 739.61 × 431.68
  4. Step 4: Simplify right side
    493.95x = 319,272.63
  5. Step 5: Solve for x
    x = 319,272.63/493.95
  6. Step 6: Final answer
    x = 646.37

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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.