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Finding the Fourth Proportional to 467.25, 696.21 and 439.31

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Solution

The fourth proportional to 467.25, 696.21 and 439.31 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.25 : 696.21 = 439.31 : x
  2. Step 2: Convert to fraction form
    467.25/696.21 = 439.31/x
  3. Step 3: Cross multiply
    467.25x = 696.21 × 439.31
  4. Step 4: Simplify right side
    467.25x = 305,852.02
  5. Step 5: Solve for x
    x = 305,852.02/467.25
  6. Step 6: Final answer
    x = 654.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.