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Finding the Fourth Proportional to 478, 659.70 and 323.08

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Solution

The fourth proportional to 478, 659.70 and 323.08 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 659.70 = 323.08 : x
  2. Step 2: Convert to fraction form
    478/659.70 = 323.08/x
  3. Step 3: Cross multiply
    478x = 659.70 × 323.08
  4. Step 4: Simplify right side
    478x = 213,135.88
  5. Step 5: Solve for x
    x = 213,135.88/478
  6. Step 6: Final answer
    x = 445.89

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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.