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Finding the Fourth Proportional to 1,268.03, 1,899.99 and 773.88

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Solution

The fourth proportional to 1,268.03, 1,899.99 and 773.88 is: 1,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.03 : 1,899.99 = 773.88 : x
  2. Step 2: Convert to fraction form
    1,268.03/1,899.99 = 773.88/x
  3. Step 3: Cross multiply
    1,268.03x = 1,899.99 × 773.88
  4. Step 4: Simplify right side
    1,268.03x = 1,470,364.26
  5. Step 5: Solve for x
    x = 1,470,364.26/1,268.03
  6. Step 6: Final answer
    x = 1,159.57

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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.