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Finding the Fourth Proportional to 471.97, 707.61 and 369.48

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Solution

The fourth proportional to 471.97, 707.61 and 369.48 is: 553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 707.61 = 369.48 : x
  2. Step 2: Convert to fraction form
    471.97/707.61 = 369.48/x
  3. Step 3: Cross multiply
    471.97x = 707.61 × 369.48
  4. Step 4: Simplify right side
    471.97x = 261,447.74
  5. Step 5: Solve for x
    x = 261,447.74/471.97
  6. Step 6: Final answer
    x = 553.95

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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.