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Finding the Fourth Proportional to 856.56, 1,284.44 and 308.67

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Solution

The fourth proportional to 856.56, 1,284.44 and 308.67 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.56 : 1,284.44 = 308.67 : x
  2. Step 2: Convert to fraction form
    856.56/1,284.44 = 308.67/x
  3. Step 3: Cross multiply
    856.56x = 1,284.44 × 308.67
  4. Step 4: Simplify right side
    856.56x = 396,465.72
  5. Step 5: Solve for x
    x = 396,465.72/856.56
  6. Step 6: Final answer
    x = 462.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.