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Finding the Fourth Proportional to 1,266.27, 1,899.84 and 486.24

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Solution

The fourth proportional to 1,266.27, 1,899.84 and 486.24 is: 729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.27 : 1,899.84 = 486.24 : x
  2. Step 2: Convert to fraction form
    1,266.27/1,899.84 = 486.24/x
  3. Step 3: Cross multiply
    1,266.27x = 1,899.84 × 486.24
  4. Step 4: Simplify right side
    1,266.27x = 923,778.20
  5. Step 5: Solve for x
    x = 923,778.20/1,266.27
  6. Step 6: Final answer
    x = 729.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.