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Finding the Fourth Proportional to 506.21, 698.33 and 319.70

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Solution

The fourth proportional to 506.21, 698.33 and 319.70 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.21 : 698.33 = 319.70 : x
  2. Step 2: Convert to fraction form
    506.21/698.33 = 319.70/x
  3. Step 3: Cross multiply
    506.21x = 698.33 × 319.70
  4. Step 4: Simplify right side
    506.21x = 223,251.01
  5. Step 5: Solve for x
    x = 223,251.01/506.21
  6. Step 6: Final answer
    x = 441.03

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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.