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Finding the Fourth Proportional to 474.59, 711.97 and 200.69

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Solution

The fourth proportional to 474.59, 711.97 and 200.69 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.59 : 711.97 = 200.69 : x
  2. Step 2: Convert to fraction form
    474.59/711.97 = 200.69/x
  3. Step 3: Cross multiply
    474.59x = 711.97 × 200.69
  4. Step 4: Simplify right side
    474.59x = 142,882.98
  5. Step 5: Solve for x
    x = 142,882.98/474.59
  6. Step 6: Final answer
    x = 301.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.