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Finding the Fourth Proportional to 471.49, 650.54 and 296.73

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Solution

The fourth proportional to 471.49, 650.54 and 296.73 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.49 : 650.54 = 296.73 : x
  2. Step 2: Convert to fraction form
    471.49/650.54 = 296.73/x
  3. Step 3: Cross multiply
    471.49x = 650.54 × 296.73
  4. Step 4: Simplify right side
    471.49x = 193,035.48
  5. Step 5: Solve for x
    x = 193,035.48/471.49
  6. Step 6: Final answer
    x = 409.42

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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.