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Finding the Fourth Proportional to 506.32, 698.26 and 319.60

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Solution

The fourth proportional to 506.32, 698.26 and 319.60 is: 440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.32 : 698.26 = 319.60 : x
  2. Step 2: Convert to fraction form
    506.32/698.26 = 319.60/x
  3. Step 3: Cross multiply
    506.32x = 698.26 × 319.60
  4. Step 4: Simplify right side
    506.32x = 223,163.90
  5. Step 5: Solve for x
    x = 223,163.90/506.32
  6. Step 6: Final answer
    x = 440.76

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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.