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Finding the Fourth Proportional to 1,120, 1,541.28 and 856.96

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Solution

The fourth proportional to 1,120, 1,541.28 and 856.96 is: 1,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120 : 1,541.28 = 856.96 : x
  2. Step 2: Convert to fraction form
    1,120/1,541.28 = 856.96/x
  3. Step 3: Cross multiply
    1,120x = 1,541.28 × 856.96
  4. Step 4: Simplify right side
    1,120x = 1,320,815.31
  5. Step 5: Solve for x
    x = 1,320,815.31/1,120
  6. Step 6: Final answer
    x = 1,179.30

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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.