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Finding the Fourth Proportional to 1,296.70, 1,779.71 and 1,185.46

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Solution

The fourth proportional to 1,296.70, 1,779.71 and 1,185.46 is: 1,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.70 : 1,779.71 = 1,185.46 : x
  2. Step 2: Convert to fraction form
    1,296.70/1,779.71 = 1,185.46/x
  3. Step 3: Cross multiply
    1,296.70x = 1,779.71 × 1,185.46
  4. Step 4: Simplify right side
    1,296.70x = 2,109,775.02
  5. Step 5: Solve for x
    x = 2,109,775.02/1,296.70
  6. Step 6: Final answer
    x = 1,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.