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Finding the Fourth Proportional to 1,076.62, 1,485.68 and 677.82

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Solution

The fourth proportional to 1,076.62, 1,485.68 and 677.82 is: 935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.62 : 1,485.68 = 677.82 : x
  2. Step 2: Convert to fraction form
    1,076.62/1,485.68 = 677.82/x
  3. Step 3: Cross multiply
    1,076.62x = 1,485.68 × 677.82
  4. Step 4: Simplify right side
    1,076.62x = 1,007,023.62
  5. Step 5: Solve for x
    x = 1,007,023.62/1,076.62
  6. Step 6: Final answer
    x = 935.36

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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.