Home / 1,676.32-2,313.36-977.44

Finding the Fourth Proportional to 1,676.32, 2,313.36 and 977.44

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Solution

The fourth proportional to 1,676.32, 2,313.36 and 977.44 is: 1,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.32 : 2,313.36 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,676.32/2,313.36 = 977.44/x
  3. Step 3: Cross multiply
    1,676.32x = 2,313.36 × 977.44
  4. Step 4: Simplify right side
    1,676.32x = 2,261,170.60
  5. Step 5: Solve for x
    x = 2,261,170.60/1,676.32
  6. Step 6: Final answer
    x = 1,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.