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Finding the Fourth Proportional to 1,076.78, 1,485.89 and 634.82

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Solution

The fourth proportional to 1,076.78, 1,485.89 and 634.82 is: 876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.78 : 1,485.89 = 634.82 : x
  2. Step 2: Convert to fraction form
    1,076.78/1,485.89 = 634.82/x
  3. Step 3: Cross multiply
    1,076.78x = 1,485.89 × 634.82
  4. Step 4: Simplify right side
    1,076.78x = 943,262.09
  5. Step 5: Solve for x
    x = 943,262.09/1,076.78
  6. Step 6: Final answer
    x = 876.01

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