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Finding the Fourth Proportional to 412.31, 617.93 and 308.78

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Solution

The fourth proportional to 412.31, 617.93 and 308.78 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 617.93 = 308.78 : x
  2. Step 2: Convert to fraction form
    412.31/617.93 = 308.78/x
  3. Step 3: Cross multiply
    412.31x = 617.93 × 308.78
  4. Step 4: Simplify right side
    412.31x = 190,804.43
  5. Step 5: Solve for x
    x = 190,804.43/412.31
  6. Step 6: Final answer
    x = 462.77

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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.