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Finding the Fourth Proportional to 769.98, 1,154.94 and 192.84

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Solution

The fourth proportional to 769.98, 1,154.94 and 192.84 is: 289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.98 : 1,154.94 = 192.84 : x
  2. Step 2: Convert to fraction form
    769.98/1,154.94 = 192.84/x
  3. Step 3: Cross multiply
    769.98x = 1,154.94 × 192.84
  4. Step 4: Simplify right side
    769.98x = 222,718.63
  5. Step 5: Solve for x
    x = 222,718.63/769.98
  6. Step 6: Final answer
    x = 289.25

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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.