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Finding the Fourth Proportional to 522.54, 720.09 and 367.02

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Solution

The fourth proportional to 522.54, 720.09 and 367.02 is: 505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.54 : 720.09 = 367.02 : x
  2. Step 2: Convert to fraction form
    522.54/720.09 = 367.02/x
  3. Step 3: Cross multiply
    522.54x = 720.09 × 367.02
  4. Step 4: Simplify right side
    522.54x = 264,287.43
  5. Step 5: Solve for x
    x = 264,287.43/522.54
  6. Step 6: Final answer
    x = 505.77

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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.