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Finding the Fourth Proportional to 478.43, 659.93 and 328.99

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Solution

The fourth proportional to 478.43, 659.93 and 328.99 is: 453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 659.93 = 328.99 : x
  2. Step 2: Convert to fraction form
    478.43/659.93 = 328.99/x
  3. Step 3: Cross multiply
    478.43x = 659.93 × 328.99
  4. Step 4: Simplify right side
    478.43x = 217,105.43
  5. Step 5: Solve for x
    x = 217,105.43/478.43
  6. Step 6: Final answer
    x = 453.79

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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.