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Finding the Fourth Proportional to 797.36, 1,193.90 and 522.78

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Solution

The fourth proportional to 797.36, 1,193.90 and 522.78 is: 782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,193.90 = 522.78 : x
  2. Step 2: Convert to fraction form
    797.36/1,193.90 = 522.78/x
  3. Step 3: Cross multiply
    797.36x = 1,193.90 × 522.78
  4. Step 4: Simplify right side
    797.36x = 624,147.04
  5. Step 5: Solve for x
    x = 624,147.04/797.36
  6. Step 6: Final answer
    x = 782.77

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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.