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Finding the Fourth Proportional to 464.07, 698.70 and 343.20

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Solution

The fourth proportional to 464.07, 698.70 and 343.20 is: 516.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.07 : 698.70 = 343.20 : x
  2. Step 2: Convert to fraction form
    464.07/698.70 = 343.20/x
  3. Step 3: Cross multiply
    464.07x = 698.70 × 343.20
  4. Step 4: Simplify right side
    464.07x = 239,793.84
  5. Step 5: Solve for x
    x = 239,793.84/464.07
  6. Step 6: Final answer
    x = 516.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.