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Finding the Fourth Proportional to 522.34, 720.82 and 289.46

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Solution

The fourth proportional to 522.34, 720.82 and 289.46 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 720.82 = 289.46 : x
  2. Step 2: Convert to fraction form
    522.34/720.82 = 289.46/x
  3. Step 3: Cross multiply
    522.34x = 720.82 × 289.46
  4. Step 4: Simplify right side
    522.34x = 208,648.56
  5. Step 5: Solve for x
    x = 208,648.56/522.34
  6. Step 6: Final answer
    x = 399.45

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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.