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Finding the Fourth Proportional to 470.82, 650.31 and 346.29

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Solution

The fourth proportional to 470.82, 650.31 and 346.29 is: 478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 650.31 = 346.29 : x
  2. Step 2: Convert to fraction form
    470.82/650.31 = 346.29/x
  3. Step 3: Cross multiply
    470.82x = 650.31 × 346.29
  4. Step 4: Simplify right side
    470.82x = 225,195.85
  5. Step 5: Solve for x
    x = 225,195.85/470.82
  6. Step 6: Final answer
    x = 478.31

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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.