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Finding the Fourth Proportional to 1,454.80, 2,183 and 685.28

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Solution

The fourth proportional to 1,454.80, 2,183 and 685.28 is: 1,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.80 : 2,183 = 685.28 : x
  2. Step 2: Convert to fraction form
    1,454.80/2,183 = 685.28/x
  3. Step 3: Cross multiply
    1,454.80x = 2,183 × 685.28
  4. Step 4: Simplify right side
    1,454.80x = 1,495,966.24
  5. Step 5: Solve for x
    x = 1,495,966.24/1,454.80
  6. Step 6: Final answer
    x = 1,028.30

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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.