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Finding the Fourth Proportional to 522.44, 720.06 and 391.22

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Solution

The fourth proportional to 522.44, 720.06 and 391.22 is: 539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.44 : 720.06 = 391.22 : x
  2. Step 2: Convert to fraction form
    522.44/720.06 = 391.22/x
  3. Step 3: Cross multiply
    522.44x = 720.06 × 391.22
  4. Step 4: Simplify right side
    522.44x = 281,701.87
  5. Step 5: Solve for x
    x = 281,701.87/522.44
  6. Step 6: Final answer
    x = 539.20

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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.