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Finding the Fourth Proportional to 777.74, 1,166.65 and 200.62

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Solution

The fourth proportional to 777.74, 1,166.65 and 200.62 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.74 : 1,166.65 = 200.62 : x
  2. Step 2: Convert to fraction form
    777.74/1,166.65 = 200.62/x
  3. Step 3: Cross multiply
    777.74x = 1,166.65 × 200.62
  4. Step 4: Simplify right side
    777.74x = 234,053.32
  5. Step 5: Solve for x
    x = 234,053.32/777.74
  6. Step 6: Final answer
    x = 300.94

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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.