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Finding the Fourth Proportional to 471.42, 650.84 and 340.71

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Solution

The fourth proportional to 471.42, 650.84 and 340.71 is: 470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.42 : 650.84 = 340.71 : x
  2. Step 2: Convert to fraction form
    471.42/650.84 = 340.71/x
  3. Step 3: Cross multiply
    471.42x = 650.84 × 340.71
  4. Step 4: Simplify right side
    471.42x = 221,743.55
  5. Step 5: Solve for x
    x = 221,743.55/471.42
  6. Step 6: Final answer
    x = 470.37

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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.