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Finding the Fourth Proportional to 522.31, 720.80 and 289.44

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Solution

The fourth proportional to 522.31, 720.80 and 289.44 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.31 : 720.80 = 289.44 : x
  2. Step 2: Convert to fraction form
    522.31/720.80 = 289.44/x
  3. Step 3: Cross multiply
    522.31x = 720.80 × 289.44
  4. Step 4: Simplify right side
    522.31x = 208,628.35
  5. Step 5: Solve for x
    x = 208,628.35/522.31
  6. Step 6: Final answer
    x = 399.43

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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.