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Finding the Fourth Proportional to 1,804.27, 2,705.82 and 571.36

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Solution

The fourth proportional to 1,804.27, 2,705.82 and 571.36 is: 856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.27 : 2,705.82 = 571.36 : x
  2. Step 2: Convert to fraction form
    1,804.27/2,705.82 = 571.36/x
  3. Step 3: Cross multiply
    1,804.27x = 2,705.82 × 571.36
  4. Step 4: Simplify right side
    1,804.27x = 1,545,997.32
  5. Step 5: Solve for x
    x = 1,545,997.32/1,804.27
  6. Step 6: Final answer
    x = 856.85

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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.