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Finding the Fourth Proportional to 467.56, 703.78 and 397.09

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Solution

The fourth proportional to 467.56, 703.78 and 397.09 is: 597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.56 : 703.78 = 397.09 : x
  2. Step 2: Convert to fraction form
    467.56/703.78 = 397.09/x
  3. Step 3: Cross multiply
    467.56x = 703.78 × 397.09
  4. Step 4: Simplify right side
    467.56x = 279,464.00
  5. Step 5: Solve for x
    x = 279,464.00/467.56
  6. Step 6: Final answer
    x = 597.71

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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.