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Finding the Fourth Proportional to 522.78, 782.80 and 367.87

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Solution

The fourth proportional to 522.78, 782.80 and 367.87 is: 550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.78 : 782.80 = 367.87 : x
  2. Step 2: Convert to fraction form
    522.78/782.80 = 367.87/x
  3. Step 3: Cross multiply
    522.78x = 782.80 × 367.87
  4. Step 4: Simplify right side
    522.78x = 287,966.68
  5. Step 5: Solve for x
    x = 287,966.68/522.78
  6. Step 6: Final answer
    x = 550.84

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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.