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Finding the Fourth Proportional to 447.74, 671.64 and 345.68

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Solution

The fourth proportional to 447.74, 671.64 and 345.68 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.74 : 671.64 = 345.68 : x
  2. Step 2: Convert to fraction form
    447.74/671.64 = 345.68/x
  3. Step 3: Cross multiply
    447.74x = 671.64 × 345.68
  4. Step 4: Simplify right side
    447.74x = 232,172.52
  5. Step 5: Solve for x
    x = 232,172.52/447.74
  6. Step 6: Final answer
    x = 518.54

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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.