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Finding the Fourth Proportional to 777.46, 1,166.19 and 200.33

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Solution

The fourth proportional to 777.46, 1,166.19 and 200.33 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,166.19 = 200.33 : x
  2. Step 2: Convert to fraction form
    777.46/1,166.19 = 200.33/x
  3. Step 3: Cross multiply
    777.46x = 1,166.19 × 200.33
  4. Step 4: Simplify right side
    777.46x = 233,625.01
  5. Step 5: Solve for x
    x = 233,625.01/777.46
  6. Step 6: Final answer
    x = 300.50

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1.5x scale

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.