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Finding the Fourth Proportional to 471.68, 650.84 and 355.04

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Solution

The fourth proportional to 471.68, 650.84 and 355.04 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 650.84 = 355.04 : x
  2. Step 2: Convert to fraction form
    471.68/650.84 = 355.04/x
  3. Step 3: Cross multiply
    471.68x = 650.84 × 355.04
  4. Step 4: Simplify right side
    471.68x = 231,074.23
  5. Step 5: Solve for x
    x = 231,074.23/471.68
  6. Step 6: Final answer
    x = 489.90

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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.