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Finding the Fourth Proportional to 1,083.92, 1,490.27 and 882.23

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Solution

The fourth proportional to 1,083.92, 1,490.27 and 882.23 is: 1,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.92 : 1,490.27 = 882.23 : x
  2. Step 2: Convert to fraction form
    1,083.92/1,490.27 = 882.23/x
  3. Step 3: Cross multiply
    1,083.92x = 1,490.27 × 882.23
  4. Step 4: Simplify right side
    1,083.92x = 1,314,749.04
  5. Step 5: Solve for x
    x = 1,314,749.04/1,083.92
  6. Step 6: Final answer
    x = 1,212.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.