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Finding the Fourth Proportional to 522.42, 782.90 and 279.12

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Solution

The fourth proportional to 522.42, 782.90 and 279.12 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 782.90 = 279.12 : x
  2. Step 2: Convert to fraction form
    522.42/782.90 = 279.12/x
  3. Step 3: Cross multiply
    522.42x = 782.90 × 279.12
  4. Step 4: Simplify right side
    522.42x = 218,523.05
  5. Step 5: Solve for x
    x = 218,523.05/522.42
  6. Step 6: Final answer
    x = 418.29

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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.