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Finding the Fourth Proportional to 856.09, 1,282.90 and 490.99

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Solution

The fourth proportional to 856.09, 1,282.90 and 490.99 is: 735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.09 : 1,282.90 = 490.99 : x
  2. Step 2: Convert to fraction form
    856.09/1,282.90 = 490.99/x
  3. Step 3: Cross multiply
    856.09x = 1,282.90 × 490.99
  4. Step 4: Simplify right side
    856.09x = 629,891.07
  5. Step 5: Solve for x
    x = 629,891.07/856.09
  6. Step 6: Final answer
    x = 735.78

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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.