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Finding the Fourth Proportional to 856.84, 1,285.80 and 849.89

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Solution

The fourth proportional to 856.84, 1,285.80 and 849.89 is: 1,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,285.80 = 849.89 : x
  2. Step 2: Convert to fraction form
    856.84/1,285.80 = 849.89/x
  3. Step 3: Cross multiply
    856.84x = 1,285.80 × 849.89
  4. Step 4: Simplify right side
    856.84x = 1,092,788.56
  5. Step 5: Solve for x
    x = 1,092,788.56/856.84
  6. Step 6: Final answer
    x = 1,275.37

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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.