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Finding the Fourth Proportional to 1,028.06, 1,418.32 and 654.97

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Solution

The fourth proportional to 1,028.06, 1,418.32 and 654.97 is: 903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,418.32 = 654.97 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,418.32 = 654.97/x
  3. Step 3: Cross multiply
    1,028.06x = 1,418.32 × 654.97
  4. Step 4: Simplify right side
    1,028.06x = 928,957.05
  5. Step 5: Solve for x
    x = 928,957.05/1,028.06
  6. Step 6: Final answer
    x = 903.61

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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.