Home / 1,284.46-1,772.60-786.94

Finding the Fourth Proportional to 1,284.46, 1,772.60 and 786.94

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Solution

The fourth proportional to 1,284.46, 1,772.60 and 786.94 is: 1,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.46 : 1,772.60 = 786.94 : x
  2. Step 2: Convert to fraction form
    1,284.46/1,772.60 = 786.94/x
  3. Step 3: Cross multiply
    1,284.46x = 1,772.60 × 786.94
  4. Step 4: Simplify right side
    1,284.46x = 1,394,921.48
  5. Step 5: Solve for x
    x = 1,394,921.48/1,284.46
  6. Step 6: Final answer
    x = 1,086.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.