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Finding the Fourth Proportional to 522.53, 782.43 and 367.62

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Solution

The fourth proportional to 522.53, 782.43 and 367.62 is: 550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.53 : 782.43 = 367.62 : x
  2. Step 2: Convert to fraction form
    522.53/782.43 = 367.62/x
  3. Step 3: Cross multiply
    522.53x = 782.43 × 367.62
  4. Step 4: Simplify right side
    522.53x = 287,632.60
  5. Step 5: Solve for x
    x = 287,632.60/522.53
  6. Step 6: Final answer
    x = 550.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.