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Finding the Fourth Proportional to 522.25, 720.69 and 289.37

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Solution

The fourth proportional to 522.25, 720.69 and 289.37 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 720.69 = 289.37 : x
  2. Step 2: Convert to fraction form
    522.25/720.69 = 289.37/x
  3. Step 3: Cross multiply
    522.25x = 720.69 × 289.37
  4. Step 4: Simplify right side
    522.25x = 208,546.79
  5. Step 5: Solve for x
    x = 208,546.79/522.25
  6. Step 6: Final answer
    x = 399.33

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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.