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Finding the Fourth Proportional to 1,296.48, 1,766.64 and 1,266.42

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Solution

The fourth proportional to 1,296.48, 1,766.64 and 1,266.42 is: 1,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.48 : 1,766.64 = 1,266.42 : x
  2. Step 2: Convert to fraction form
    1,296.48/1,766.64 = 1,266.42/x
  3. Step 3: Cross multiply
    1,296.48x = 1,766.64 × 1,266.42
  4. Step 4: Simplify right side
    1,296.48x = 2,237,308.23
  5. Step 5: Solve for x
    x = 2,237,308.23/1,296.48
  6. Step 6: Final answer
    x = 1,725.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.