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Finding the Fourth Proportional to 856.33, 1,284.99 and 849.37

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Solution

The fourth proportional to 856.33, 1,284.99 and 849.37 is: 1,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.33 : 1,284.99 = 849.37 : x
  2. Step 2: Convert to fraction form
    856.33/1,284.99 = 849.37/x
  3. Step 3: Cross multiply
    856.33x = 1,284.99 × 849.37
  4. Step 4: Simplify right side
    856.33x = 1,091,431.96
  5. Step 5: Solve for x
    x = 1,091,431.96/856.33
  6. Step 6: Final answer
    x = 1,274.55

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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.