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Finding the Fourth Proportional to 468.80, 646.66 and 328.72

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Solution

The fourth proportional to 468.80, 646.66 and 328.72 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 646.66 = 328.72 : x
  2. Step 2: Convert to fraction form
    468.80/646.66 = 328.72/x
  3. Step 3: Cross multiply
    468.80x = 646.66 × 328.72
  4. Step 4: Simplify right side
    468.80x = 212,568.87
  5. Step 5: Solve for x
    x = 212,568.87/468.80
  6. Step 6: Final answer
    x = 453.43

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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.