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Finding the Fourth Proportional to 505.97, 698.27 and 337.64

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Solution

The fourth proportional to 505.97, 698.27 and 337.64 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.97 : 698.27 = 337.64 : x
  2. Step 2: Convert to fraction form
    505.97/698.27 = 337.64/x
  3. Step 3: Cross multiply
    505.97x = 698.27 × 337.64
  4. Step 4: Simplify right side
    505.97x = 235,761.24
  5. Step 5: Solve for x
    x = 235,761.24/505.97
  6. Step 6: Final answer
    x = 465.96

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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.