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Finding the Fourth Proportional to 471.27, 650.12 and 315.75

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Solution

The fourth proportional to 471.27, 650.12 and 315.75 is: 435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 650.12 = 315.75 : x
  2. Step 2: Convert to fraction form
    471.27/650.12 = 315.75/x
  3. Step 3: Cross multiply
    471.27x = 650.12 × 315.75
  4. Step 4: Simplify right side
    471.27x = 205,273.81
  5. Step 5: Solve for x
    x = 205,273.81/471.27
  6. Step 6: Final answer
    x = 435.58

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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.