Home / 1,296.29-1,789.94-1,057.06

Finding the Fourth Proportional to 1,296.29, 1,789.94 and 1,057.06

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Solution

The fourth proportional to 1,296.29, 1,789.94 and 1,057.06 is: 1,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.29 : 1,789.94 = 1,057.06 : x
  2. Step 2: Convert to fraction form
    1,296.29/1,789.94 = 1,057.06/x
  3. Step 3: Cross multiply
    1,296.29x = 1,789.94 × 1,057.06
  4. Step 4: Simplify right side
    1,296.29x = 1,892,059.74
  5. Step 5: Solve for x
    x = 1,892,059.74/1,296.29
  6. Step 6: Final answer
    x = 1,459.60

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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.