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Finding the Fourth Proportional to 1,512.12, 2,268.94 and 690.22

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Solution

The fourth proportional to 1,512.12, 2,268.94 and 690.22 is: 1,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.12 : 2,268.94 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,512.12/2,268.94 = 690.22/x
  3. Step 3: Cross multiply
    1,512.12x = 2,268.94 × 690.22
  4. Step 4: Simplify right side
    1,512.12x = 1,566,067.77
  5. Step 5: Solve for x
    x = 1,566,067.77/1,512.12
  6. Step 6: Final answer
    x = 1,035.68

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1.5x scale

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.