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Finding the Fourth Proportional to 1,266.91, 1,749.54 and 1,197.88

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Solution

The fourth proportional to 1,266.91, 1,749.54 and 1,197.88 is: 1,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.91 : 1,749.54 = 1,197.88 : x
  2. Step 2: Convert to fraction form
    1,266.91/1,749.54 = 1,197.88/x
  3. Step 3: Cross multiply
    1,266.91x = 1,749.54 × 1,197.88
  4. Step 4: Simplify right side
    1,266.91x = 2,095,741.16
  5. Step 5: Solve for x
    x = 2,095,741.16/1,266.91
  6. Step 6: Final answer
    x = 1,654.22

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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.