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Finding the Fourth Proportional to 471.84, 650.91 and 324.24

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Solution

The fourth proportional to 471.84, 650.91 and 324.24 is: 447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.84 : 650.91 = 324.24 : x
  2. Step 2: Convert to fraction form
    471.84/650.91 = 324.24/x
  3. Step 3: Cross multiply
    471.84x = 650.91 × 324.24
  4. Step 4: Simplify right side
    471.84x = 211,051.06
  5. Step 5: Solve for x
    x = 211,051.06/471.84
  6. Step 6: Final answer
    x = 447.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.