Home / 1,676.32-2,511.57-808.78

Finding the Fourth Proportional to 1,676.32, 2,511.57 and 808.78

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Solution

The fourth proportional to 1,676.32, 2,511.57 and 808.78 is: 1,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.32 : 2,511.57 = 808.78 : x
  2. Step 2: Convert to fraction form
    1,676.32/2,511.57 = 808.78/x
  3. Step 3: Cross multiply
    1,676.32x = 2,511.57 × 808.78
  4. Step 4: Simplify right side
    1,676.32x = 2,031,307.58
  5. Step 5: Solve for x
    x = 2,031,307.58/1,676.32
  6. Step 6: Final answer
    x = 1,211.77

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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.