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Finding the Fourth Proportional to 1,078.83, 1,485.81 and 931.41

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Solution

The fourth proportional to 1,078.83, 1,485.81 and 931.41 is: 1,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.83 : 1,485.81 = 931.41 : x
  2. Step 2: Convert to fraction form
    1,078.83/1,485.81 = 931.41/x
  3. Step 3: Cross multiply
    1,078.83x = 1,485.81 × 931.41
  4. Step 4: Simplify right side
    1,078.83x = 1,383,898.29
  5. Step 5: Solve for x
    x = 1,383,898.29/1,078.83
  6. Step 6: Final answer
    x = 1,282.78

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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.