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Finding the Fourth Proportional to 1,266.88, 1,748.46 and 742.96

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Solution

The fourth proportional to 1,266.88, 1,748.46 and 742.96 is: 1,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.88 : 1,748.46 = 742.96 : x
  2. Step 2: Convert to fraction form
    1,266.88/1,748.46 = 742.96/x
  3. Step 3: Cross multiply
    1,266.88x = 1,748.46 × 742.96
  4. Step 4: Simplify right side
    1,266.88x = 1,299,035.84
  5. Step 5: Solve for x
    x = 1,299,035.84/1,266.88
  6. Step 6: Final answer
    x = 1,025.38

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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.