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Finding the Fourth Proportional to 685.14, 944.70 and 422.94

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Solution

The fourth proportional to 685.14, 944.70 and 422.94 is: 583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 944.70 = 422.94 : x
  2. Step 2: Convert to fraction form
    685.14/944.70 = 422.94/x
  3. Step 3: Cross multiply
    685.14x = 944.70 × 422.94
  4. Step 4: Simplify right side
    685.14x = 399,551.42
  5. Step 5: Solve for x
    x = 399,551.42/685.14
  6. Step 6: Final answer
    x = 583.17

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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.