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Finding the Fourth Proportional to 522.34, 720.78 and 289.46

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Solution

The fourth proportional to 522.34, 720.78 and 289.46 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 720.78 = 289.46 : x
  2. Step 2: Convert to fraction form
    522.34/720.78 = 289.46/x
  3. Step 3: Cross multiply
    522.34x = 720.78 × 289.46
  4. Step 4: Simplify right side
    522.34x = 208,636.98
  5. Step 5: Solve for x
    x = 208,636.98/522.34
  6. Step 6: Final answer
    x = 399.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.