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Finding the Fourth Proportional to 796.50, 1,193.94 and 334.53

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Solution

The fourth proportional to 796.50, 1,193.94 and 334.53 is: 501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,193.94 = 334.53 : x
  2. Step 2: Convert to fraction form
    796.50/1,193.94 = 334.53/x
  3. Step 3: Cross multiply
    796.50x = 1,193.94 × 334.53
  4. Step 4: Simplify right side
    796.50x = 399,408.75
  5. Step 5: Solve for x
    x = 399,408.75/796.50
  6. Step 6: Final answer
    x = 501.45

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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.