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Finding the Fourth Proportional to 590.30, 884.87 and 330.42

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Solution

The fourth proportional to 590.30, 884.87 and 330.42 is: 495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 884.87 = 330.42 : x
  2. Step 2: Convert to fraction form
    590.30/884.87 = 330.42/x
  3. Step 3: Cross multiply
    590.30x = 884.87 × 330.42
  4. Step 4: Simplify right side
    590.30x = 292,377.09
  5. Step 5: Solve for x
    x = 292,377.09/590.30
  6. Step 6: Final answer
    x = 495.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.