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Finding the Fourth Proportional to 471.50, 650.86 and 459.08

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Solution

The fourth proportional to 471.50, 650.86 and 459.08 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 650.86 = 459.08 : x
  2. Step 2: Convert to fraction form
    471.50/650.86 = 459.08/x
  3. Step 3: Cross multiply
    471.50x = 650.86 × 459.08
  4. Step 4: Simplify right side
    471.50x = 298,794.85
  5. Step 5: Solve for x
    x = 298,794.85/471.50
  6. Step 6: Final answer
    x = 633.71

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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.