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Finding the Fourth Proportional to 658.81, 908.93 and 422.74

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Solution

The fourth proportional to 658.81, 908.93 and 422.74 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 908.93 = 422.74 : x
  2. Step 2: Convert to fraction form
    658.81/908.93 = 422.74/x
  3. Step 3: Cross multiply
    658.81x = 908.93 × 422.74
  4. Step 4: Simplify right side
    658.81x = 384,236.68
  5. Step 5: Solve for x
    x = 384,236.68/658.81
  6. Step 6: Final answer
    x = 583.23

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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.