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Finding the Fourth Proportional to 522.45, 720.67 and 345.42

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Solution

The fourth proportional to 522.45, 720.67 and 345.42 is: 476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.45 : 720.67 = 345.42 : x
  2. Step 2: Convert to fraction form
    522.45/720.67 = 345.42/x
  3. Step 3: Cross multiply
    522.45x = 720.67 × 345.42
  4. Step 4: Simplify right side
    522.45x = 248,932.97
  5. Step 5: Solve for x
    x = 248,932.97/522.45
  6. Step 6: Final answer
    x = 476.47

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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.