Home / 1,538.08-2,305.75-563.96

Finding the Fourth Proportional to 1,538.08, 2,305.75 and 563.96

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Solution

The fourth proportional to 1,538.08, 2,305.75 and 563.96 is: 845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.08 : 2,305.75 = 563.96 : x
  2. Step 2: Convert to fraction form
    1,538.08/2,305.75 = 563.96/x
  3. Step 3: Cross multiply
    1,538.08x = 2,305.75 × 563.96
  4. Step 4: Simplify right side
    1,538.08x = 1,300,350.77
  5. Step 5: Solve for x
    x = 1,300,350.77/1,538.08
  6. Step 6: Final answer
    x = 845.44

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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.