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Finding the Fourth Proportional to 506.64, 698.85 and 329.83

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Solution

The fourth proportional to 506.64, 698.85 and 329.83 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 698.85 = 329.83 : x
  2. Step 2: Convert to fraction form
    506.64/698.85 = 329.83/x
  3. Step 3: Cross multiply
    506.64x = 698.85 × 329.83
  4. Step 4: Simplify right side
    506.64x = 230,501.70
  5. Step 5: Solve for x
    x = 230,501.70/506.64
  6. Step 6: Final answer
    x = 454.96

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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.