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Finding the Fourth Proportional to 506.95, 699.42 and 329.83

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Solution

The fourth proportional to 506.95, 699.42 and 329.83 is: 455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 699.42 = 329.83 : x
  2. Step 2: Convert to fraction form
    506.95/699.42 = 329.83/x
  3. Step 3: Cross multiply
    506.95x = 699.42 × 329.83
  4. Step 4: Simplify right side
    506.95x = 230,689.70
  5. Step 5: Solve for x
    x = 230,689.70/506.95
  6. Step 6: Final answer
    x = 455.05

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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.