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Finding the Fourth Proportional to 777.60, 1,166.44 and 200.48

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Solution

The fourth proportional to 777.60, 1,166.44 and 200.48 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,166.44 = 200.48 : x
  2. Step 2: Convert to fraction form
    777.60/1,166.44 = 200.48/x
  3. Step 3: Cross multiply
    777.60x = 1,166.44 × 200.48
  4. Step 4: Simplify right side
    777.60x = 233,847.89
  5. Step 5: Solve for x
    x = 233,847.89/777.60
  6. Step 6: Final answer
    x = 300.73

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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.