Home / 1,709.16-2,563.61-976.44

Finding the Fourth Proportional to 1,709.16, 2,563.61 and 976.44

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Solution

The fourth proportional to 1,709.16, 2,563.61 and 976.44 is: 1,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.16 : 2,563.61 = 976.44 : x
  2. Step 2: Convert to fraction form
    1,709.16/2,563.61 = 976.44/x
  3. Step 3: Cross multiply
    1,709.16x = 2,563.61 × 976.44
  4. Step 4: Simplify right side
    1,709.16x = 2,503,200.97
  5. Step 5: Solve for x
    x = 2,503,200.97/1,709.16
  6. Step 6: Final answer
    x = 1,464.58

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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.