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Finding the Fourth Proportional to 506.68, 698.09 and 380.11

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Solution

The fourth proportional to 506.68, 698.09 and 380.11 is: 523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.68 : 698.09 = 380.11 : x
  2. Step 2: Convert to fraction form
    506.68/698.09 = 380.11/x
  3. Step 3: Cross multiply
    506.68x = 698.09 × 380.11
  4. Step 4: Simplify right side
    506.68x = 265,345.60
  5. Step 5: Solve for x
    x = 265,345.60/506.68
  6. Step 6: Final answer
    x = 523.70

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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.