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Finding the Fourth Proportional to 522.05, 720.02 and 335.56

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Solution

The fourth proportional to 522.05, 720.02 and 335.56 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 720.02 = 335.56 : x
  2. Step 2: Convert to fraction form
    522.05/720.02 = 335.56/x
  3. Step 3: Cross multiply
    522.05x = 720.02 × 335.56
  4. Step 4: Simplify right side
    522.05x = 241,608.23
  5. Step 5: Solve for x
    x = 241,608.23/522.05
  6. Step 6: Final answer
    x = 462.81

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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.