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Finding the Fourth Proportional to 467.31, 703.40 and 396.84

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Solution

The fourth proportional to 467.31, 703.40 and 396.84 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 703.40 = 396.84 : x
  2. Step 2: Convert to fraction form
    467.31/703.40 = 396.84/x
  3. Step 3: Cross multiply
    467.31x = 703.40 × 396.84
  4. Step 4: Simplify right side
    467.31x = 279,137.26
  5. Step 5: Solve for x
    x = 279,137.26/467.31
  6. Step 6: Final answer
    x = 597.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.