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Finding the Fourth Proportional to 522.85, 784.56 and 214.73

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Solution

The fourth proportional to 522.85, 784.56 and 214.73 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.85 : 784.56 = 214.73 : x
  2. Step 2: Convert to fraction form
    522.85/784.56 = 214.73/x
  3. Step 3: Cross multiply
    522.85x = 784.56 × 214.73
  4. Step 4: Simplify right side
    522.85x = 168,468.57
  5. Step 5: Solve for x
    x = 168,468.57/522.85
  6. Step 6: Final answer
    x = 322.21

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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.