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Finding the Fourth Proportional to 506.08, 698.48 and 319.44

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Solution

The fourth proportional to 506.08, 698.48 and 319.44 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 698.48 = 319.44 : x
  2. Step 2: Convert to fraction form
    506.08/698.48 = 319.44/x
  3. Step 3: Cross multiply
    506.08x = 698.48 × 319.44
  4. Step 4: Simplify right side
    506.08x = 223,122.45
  5. Step 5: Solve for x
    x = 223,122.45/506.08
  6. Step 6: Final answer
    x = 440.88

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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.