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Finding the Fourth Proportional to 450.63, 622.04 and 345.71

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Solution

The fourth proportional to 450.63, 622.04 and 345.71 is: 477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.63 : 622.04 = 345.71 : x
  2. Step 2: Convert to fraction form
    450.63/622.04 = 345.71/x
  3. Step 3: Cross multiply
    450.63x = 622.04 × 345.71
  4. Step 4: Simplify right side
    450.63x = 215,040.61
  5. Step 5: Solve for x
    x = 215,040.61/450.63
  6. Step 6: Final answer
    x = 477.20

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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.