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Finding the Fourth Proportional to 906.73, 1,361.90 and 776.68

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Solution

The fourth proportional to 906.73, 1,361.90 and 776.68 is: 1,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.73 : 1,361.90 = 776.68 : x
  2. Step 2: Convert to fraction form
    906.73/1,361.90 = 776.68/x
  3. Step 3: Cross multiply
    906.73x = 1,361.90 × 776.68
  4. Step 4: Simplify right side
    906.73x = 1,057,756.61
  5. Step 5: Solve for x
    x = 1,057,756.61/906.73
  6. Step 6: Final answer
    x = 1,166.56

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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.