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Finding the Fourth Proportional to 506.79, 698.36 and 351.27

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Solution

The fourth proportional to 506.79, 698.36 and 351.27 is: 484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 698.36 = 351.27 : x
  2. Step 2: Convert to fraction form
    506.79/698.36 = 351.27/x
  3. Step 3: Cross multiply
    506.79x = 698.36 × 351.27
  4. Step 4: Simplify right side
    506.79x = 245,311.16
  5. Step 5: Solve for x
    x = 245,311.16/506.79
  6. Step 6: Final answer
    x = 484.05

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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.