Home / 1,069.23-1,600.19-896.09

Finding the Fourth Proportional to 1,069.23, 1,600.19 and 896.09

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Solution

The fourth proportional to 1,069.23, 1,600.19 and 896.09 is: 1,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.23 : 1,600.19 = 896.09 : x
  2. Step 2: Convert to fraction form
    1,069.23/1,600.19 = 896.09/x
  3. Step 3: Cross multiply
    1,069.23x = 1,600.19 × 896.09
  4. Step 4: Simplify right side
    1,069.23x = 1,433,914.26
  5. Step 5: Solve for x
    x = 1,433,914.26/1,069.23
  6. Step 6: Final answer
    x = 1,341.07

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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.