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Finding the Fourth Proportional to 1,296.61, 1,790.22 and 1,213.99

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Solution

The fourth proportional to 1,296.61, 1,790.22 and 1,213.99 is: 1,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.61 : 1,790.22 = 1,213.99 : x
  2. Step 2: Convert to fraction form
    1,296.61/1,790.22 = 1,213.99/x
  3. Step 3: Cross multiply
    1,296.61x = 1,790.22 × 1,213.99
  4. Step 4: Simplify right side
    1,296.61x = 2,173,309.18
  5. Step 5: Solve for x
    x = 2,173,309.18/1,296.61
  6. Step 6: Final answer
    x = 1,676.15

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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.