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Finding the Fourth Proportional to 856.26, 1,284.53 and 279

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Solution

The fourth proportional to 856.26, 1,284.53 and 279 is: 418.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,284.53 = 279 : x
  2. Step 2: Convert to fraction form
    856.26/1,284.53 = 279/x
  3. Step 3: Cross multiply
    856.26x = 1,284.53 × 279
  4. Step 4: Simplify right side
    856.26x = 358,382.48
  5. Step 5: Solve for x
    x = 358,382.48/856.26
  6. Step 6: Final answer
    x = 418.54

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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.