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Finding the Fourth Proportional to 471.21, 701.72 and 443.25

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Solution

The fourth proportional to 471.21, 701.72 and 443.25 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.21 : 701.72 = 443.25 : x
  2. Step 2: Convert to fraction form
    471.21/701.72 = 443.25/x
  3. Step 3: Cross multiply
    471.21x = 701.72 × 443.25
  4. Step 4: Simplify right side
    471.21x = 311,035.17
  5. Step 5: Solve for x
    x = 311,035.17/471.21
  6. Step 6: Final answer
    x = 660.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.