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Finding the Fourth Proportional to 471.84, 654.27 and 447.24

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Solution

The fourth proportional to 471.84, 654.27 and 447.24 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 654.27 = 447.24 : x
  2. Step 2: Convert to fraction form
    471.84/654.27 = 447.24/x
  3. Step 3: Cross multiply
    471.84x = 654.27 × 447.24
  4. Step 4: Simplify right side
    471.84x = 292,615.71
  5. Step 5: Solve for x
    x = 292,615.71/471.84
  6. Step 6: Final answer
    x = 620.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.