Home / 1,676.50-2,313.57-977.88

Finding the Fourth Proportional to 1,676.50, 2,313.57 and 977.88

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Solution

The fourth proportional to 1,676.50, 2,313.57 and 977.88 is: 1,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.50 : 2,313.57 = 977.88 : x
  2. Step 2: Convert to fraction form
    1,676.50/2,313.57 = 977.88/x
  3. Step 3: Cross multiply
    1,676.50x = 2,313.57 × 977.88
  4. Step 4: Simplify right side
    1,676.50x = 2,262,393.83
  5. Step 5: Solve for x
    x = 2,262,393.83/1,676.50
  6. Step 6: Final answer
    x = 1,349.47

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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.