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Finding the Fourth Proportional to 1,709.23, 2,563.94 and 539.27

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Solution

The fourth proportional to 1,709.23, 2,563.94 and 539.27 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.23 : 2,563.94 = 539.27 : x
  2. Step 2: Convert to fraction form
    1,709.23/2,563.94 = 539.27/x
  3. Step 3: Cross multiply
    1,709.23x = 2,563.94 × 539.27
  4. Step 4: Simplify right side
    1,709.23x = 1,382,640.41
  5. Step 5: Solve for x
    x = 1,382,640.41/1,709.23
  6. Step 6: Final answer
    x = 808.93

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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.