Home / 1,538.21-2,305.94-564.09

Finding the Fourth Proportional to 1,538.21, 2,305.94 and 564.09

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Solution

The fourth proportional to 1,538.21, 2,305.94 and 564.09 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.21 : 2,305.94 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,538.21/2,305.94 = 564.09/x
  3. Step 3: Cross multiply
    1,538.21x = 2,305.94 × 564.09
  4. Step 4: Simplify right side
    1,538.21x = 1,300,746.23
  5. Step 5: Solve for x
    x = 1,300,746.23/1,538.21
  6. Step 6: Final answer
    x = 845.62

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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.