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Finding the Fourth Proportional to 856.64, 1,278.82 and 799.76

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Solution

The fourth proportional to 856.64, 1,278.82 and 799.76 is: 1,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,278.82 = 799.76 : x
  2. Step 2: Convert to fraction form
    856.64/1,278.82 = 799.76/x
  3. Step 3: Cross multiply
    856.64x = 1,278.82 × 799.76
  4. Step 4: Simplify right side
    856.64x = 1,022,749.08
  5. Step 5: Solve for x
    x = 1,022,749.08/856.64
  6. Step 6: Final answer
    x = 1,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.