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Finding the Fourth Proportional to 856.36, 1,276.30 and 849.21

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Solution

The fourth proportional to 856.36, 1,276.30 and 849.21 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.36 : 1,276.30 = 849.21 : x
  2. Step 2: Convert to fraction form
    856.36/1,276.30 = 849.21/x
  3. Step 3: Cross multiply
    856.36x = 1,276.30 × 849.21
  4. Step 4: Simplify right side
    856.36x = 1,083,846.72
  5. Step 5: Solve for x
    x = 1,083,846.72/856.36
  6. Step 6: Final answer
    x = 1,265.64

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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.