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Finding the Fourth Proportional to 590.28, 814.62 and 328.32

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Solution

The fourth proportional to 590.28, 814.62 and 328.32 is: 453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.28 : 814.62 = 328.32 : x
  2. Step 2: Convert to fraction form
    590.28/814.62 = 328.32/x
  3. Step 3: Cross multiply
    590.28x = 814.62 × 328.32
  4. Step 4: Simplify right side
    590.28x = 267,451.97
  5. Step 5: Solve for x
    x = 267,451.97/590.28
  6. Step 6: Final answer
    x = 453.09

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