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Finding the Fourth Proportional to 422.01, 582.78 and 328.45

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Solution

The fourth proportional to 422.01, 582.78 and 328.45 is: 453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.78 = 328.45 : x
  2. Step 2: Convert to fraction form
    422.01/582.78 = 328.45/x
  3. Step 3: Cross multiply
    422.01x = 582.78 × 328.45
  4. Step 4: Simplify right side
    422.01x = 191,412.45
  5. Step 5: Solve for x
    x = 191,412.45/422.01
  6. Step 6: Final answer
    x = 453.58

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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.