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Finding the Fourth Proportional to 499.22, 746.82 and 431.47

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Solution

The fourth proportional to 499.22, 746.82 and 431.47 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 746.82 = 431.47 : x
  2. Step 2: Convert to fraction form
    499.22/746.82 = 431.47/x
  3. Step 3: Cross multiply
    499.22x = 746.82 × 431.47
  4. Step 4: Simplify right side
    499.22x = 322,224.53
  5. Step 5: Solve for x
    x = 322,224.53/499.22
  6. Step 6: Final answer
    x = 645.46

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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.