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Finding the Fourth Proportional to 1,077.95, 1,485.87 and 881.12

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Solution

The fourth proportional to 1,077.95, 1,485.87 and 881.12 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.95 : 1,485.87 = 881.12 : x
  2. Step 2: Convert to fraction form
    1,077.95/1,485.87 = 881.12/x
  3. Step 3: Cross multiply
    1,077.95x = 1,485.87 × 881.12
  4. Step 4: Simplify right side
    1,077.95x = 1,309,229.77
  5. Step 5: Solve for x
    x = 1,309,229.77/1,077.95
  6. Step 6: Final answer
    x = 1,214.56

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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.