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Finding the Fourth Proportional to 1,266.42, 1,747.62 and 742.80

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Solution

The fourth proportional to 1,266.42, 1,747.62 and 742.80 is: 1,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.42 : 1,747.62 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,266.42/1,747.62 = 742.80/x
  3. Step 3: Cross multiply
    1,266.42x = 1,747.62 × 742.80
  4. Step 4: Simplify right side
    1,266.42x = 1,298,132.14
  5. Step 5: Solve for x
    x = 1,298,132.14/1,266.42
  6. Step 6: Final answer
    x = 1,025.04

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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.