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Finding the Fourth Proportional to 1,691.66, 2,333.66 and 1,028.28

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Solution

The fourth proportional to 1,691.66, 2,333.66 and 1,028.28 is: 1,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.66 : 2,333.66 = 1,028.28 : x
  2. Step 2: Convert to fraction form
    1,691.66/2,333.66 = 1,028.28/x
  3. Step 3: Cross multiply
    1,691.66x = 2,333.66 × 1,028.28
  4. Step 4: Simplify right side
    1,691.66x = 2,399,655.90
  5. Step 5: Solve for x
    x = 2,399,655.90/1,691.66
  6. Step 6: Final answer
    x = 1,418.52

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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.