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Finding the Fourth Proportional to 450.74, 622.26 and 340.48

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Solution

The fourth proportional to 450.74, 622.26 and 340.48 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.74 : 622.26 = 340.48 : x
  2. Step 2: Convert to fraction form
    450.74/622.26 = 340.48/x
  3. Step 3: Cross multiply
    450.74x = 622.26 × 340.48
  4. Step 4: Simplify right side
    450.74x = 211,867.08
  5. Step 5: Solve for x
    x = 211,867.08/450.74
  6. Step 6: Final answer
    x = 470.04

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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.