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Finding the Fourth Proportional to 467.99, 646.09 and 328.54

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Solution

The fourth proportional to 467.99, 646.09 and 328.54 is: 453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.99 : 646.09 = 328.54 : x
  2. Step 2: Convert to fraction form
    467.99/646.09 = 328.54/x
  3. Step 3: Cross multiply
    467.99x = 646.09 × 328.54
  4. Step 4: Simplify right side
    467.99x = 212,262.36
  5. Step 5: Solve for x
    x = 212,262.36/467.99
  6. Step 6: Final answer
    x = 453.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.