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Finding the Fourth Proportional to 471.50, 650.33 and 311.79

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Solution

The fourth proportional to 471.50, 650.33 and 311.79 is: 430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 650.33 = 311.79 : x
  2. Step 2: Convert to fraction form
    471.50/650.33 = 311.79/x
  3. Step 3: Cross multiply
    471.50x = 650.33 × 311.79
  4. Step 4: Simplify right side
    471.50x = 202,764.83
  5. Step 5: Solve for x
    x = 202,764.83/471.50
  6. Step 6: Final answer
    x = 430.05

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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.