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Finding the Fourth Proportional to 522.67, 784.01 and 214.44

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Solution

The fourth proportional to 522.67, 784.01 and 214.44 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 784.01 = 214.44 : x
  2. Step 2: Convert to fraction form
    522.67/784.01 = 214.44/x
  3. Step 3: Cross multiply
    522.67x = 784.01 × 214.44
  4. Step 4: Simplify right side
    522.67x = 168,122.03
  5. Step 5: Solve for x
    x = 168,122.03/522.67
  6. Step 6: Final answer
    x = 321.66

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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.