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Finding the Fourth Proportional to 505.20, 697.31 and 330.54

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Solution

The fourth proportional to 505.20, 697.31 and 330.54 is: 456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.20 : 697.31 = 330.54 : x
  2. Step 2: Convert to fraction form
    505.20/697.31 = 330.54/x
  3. Step 3: Cross multiply
    505.20x = 697.31 × 330.54
  4. Step 4: Simplify right side
    505.20x = 230,488.85
  5. Step 5: Solve for x
    x = 230,488.85/505.20
  6. Step 6: Final answer
    x = 456.23

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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.