Home / 1,284.72-1,930.26-822.70

Finding the Fourth Proportional to 1,284.72, 1,930.26 and 822.70

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Solution

The fourth proportional to 1,284.72, 1,930.26 and 822.70 is: 1,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.72 : 1,930.26 = 822.70 : x
  2. Step 2: Convert to fraction form
    1,284.72/1,930.26 = 822.70/x
  3. Step 3: Cross multiply
    1,284.72x = 1,930.26 × 822.70
  4. Step 4: Simplify right side
    1,284.72x = 1,588,024.90
  5. Step 5: Solve for x
    x = 1,588,024.90/1,284.72
  6. Step 6: Final answer
    x = 1,236.09

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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.