Home / 1,676.43-2,313.69-977.82

Finding the Fourth Proportional to 1,676.43, 2,313.69 and 977.82

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Solution

The fourth proportional to 1,676.43, 2,313.69 and 977.82 is: 1,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.43 : 2,313.69 = 977.82 : x
  2. Step 2: Convert to fraction form
    1,676.43/2,313.69 = 977.82/x
  3. Step 3: Cross multiply
    1,676.43x = 2,313.69 × 977.82
  4. Step 4: Simplify right side
    1,676.43x = 2,262,372.36
  5. Step 5: Solve for x
    x = 2,262,372.36/1,676.43
  6. Step 6: Final answer
    x = 1,349.52

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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.