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Finding the Fourth Proportional to 467.37, 699.79 and 320.76

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Solution

The fourth proportional to 467.37, 699.79 and 320.76 is: 480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.37 : 699.79 = 320.76 : x
  2. Step 2: Convert to fraction form
    467.37/699.79 = 320.76/x
  3. Step 3: Cross multiply
    467.37x = 699.79 × 320.76
  4. Step 4: Simplify right side
    467.37x = 224,464.44
  5. Step 5: Solve for x
    x = 224,464.44/467.37
  6. Step 6: Final answer
    x = 480.27

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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.