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Finding the Fourth Proportional to 522.22, 720.37 and 345.29

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Solution

The fourth proportional to 522.22, 720.37 and 345.29 is: 476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.22 : 720.37 = 345.29 : x
  2. Step 2: Convert to fraction form
    522.22/720.37 = 345.29/x
  3. Step 3: Cross multiply
    522.22x = 720.37 × 345.29
  4. Step 4: Simplify right side
    522.22x = 248,736.56
  5. Step 5: Solve for x
    x = 248,736.56/522.22
  6. Step 6: Final answer
    x = 476.31

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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.