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Finding the Fourth Proportional to 467.20, 694.80 and 462.32

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Solution

The fourth proportional to 467.20, 694.80 and 462.32 is: 687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.20 : 694.80 = 462.32 : x
  2. Step 2: Convert to fraction form
    467.20/694.80 = 462.32/x
  3. Step 3: Cross multiply
    467.20x = 694.80 × 462.32
  4. Step 4: Simplify right side
    467.20x = 321,219.94
  5. Step 5: Solve for x
    x = 321,219.94/467.20
  6. Step 6: Final answer
    x = 687.54

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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.