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Finding the Fourth Proportional to 1,266.09, 1,899.10 and 400.38

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Solution

The fourth proportional to 1,266.09, 1,899.10 and 400.38 is: 600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.09 : 1,899.10 = 400.38 : x
  2. Step 2: Convert to fraction form
    1,266.09/1,899.10 = 400.38/x
  3. Step 3: Cross multiply
    1,266.09x = 1,899.10 × 400.38
  4. Step 4: Simplify right side
    1,266.09x = 760,361.66
  5. Step 5: Solve for x
    x = 760,361.66/1,266.09
  6. Step 6: Final answer
    x = 600.56

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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.