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Finding the Fourth Proportional to 856.76, 1,181.86 and 541.43

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Solution

The fourth proportional to 856.76, 1,181.86 and 541.43 is: 746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,181.86 = 541.43 : x
  2. Step 2: Convert to fraction form
    856.76/1,181.86 = 541.43/x
  3. Step 3: Cross multiply
    856.76x = 1,181.86 × 541.43
  4. Step 4: Simplify right side
    856.76x = 639,891.63
  5. Step 5: Solve for x
    x = 639,891.63/856.76
  6. Step 6: Final answer
    x = 746.88

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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.