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Finding the Fourth Proportional to 711.70, 1,067.34 and 300.59

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Solution

The fourth proportional to 711.70, 1,067.34 and 300.59 is: 450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.70 : 1,067.34 = 300.59 : x
  2. Step 2: Convert to fraction form
    711.70/1,067.34 = 300.59/x
  3. Step 3: Cross multiply
    711.70x = 1,067.34 × 300.59
  4. Step 4: Simplify right side
    711.70x = 320,831.73
  5. Step 5: Solve for x
    x = 320,831.73/711.70
  6. Step 6: Final answer
    x = 450.80

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Why These Related Problems?

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