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Finding the Fourth Proportional to 463.89, 698.54 and 343.01

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Solution

The fourth proportional to 463.89, 698.54 and 343.01 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 698.54 = 343.01 : x
  2. Step 2: Convert to fraction form
    463.89/698.54 = 343.01/x
  3. Step 3: Cross multiply
    463.89x = 698.54 × 343.01
  4. Step 4: Simplify right side
    463.89x = 239,601.00
  5. Step 5: Solve for x
    x = 239,601.00/463.89
  6. Step 6: Final answer
    x = 516.50

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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.