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Finding the Fourth Proportional to 590.37, 814.71 and 328.38

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Solution

The fourth proportional to 590.37, 814.71 and 328.38 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.37 : 814.71 = 328.38 : x
  2. Step 2: Convert to fraction form
    590.37/814.71 = 328.38/x
  3. Step 3: Cross multiply
    590.37x = 814.71 × 328.38
  4. Step 4: Simplify right side
    590.37x = 267,528.75
  5. Step 5: Solve for x
    x = 267,528.75/590.37
  6. Step 6: Final answer
    x = 453.16

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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.