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Finding the Fourth Proportional to 1,454.75, 2,179.99 and 905.26

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Solution

The fourth proportional to 1,454.75, 2,179.99 and 905.26 is: 1,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.75 : 2,179.99 = 905.26 : x
  2. Step 2: Convert to fraction form
    1,454.75/2,179.99 = 905.26/x
  3. Step 3: Cross multiply
    1,454.75x = 2,179.99 × 905.26
  4. Step 4: Simplify right side
    1,454.75x = 1,973,457.75
  5. Step 5: Solve for x
    x = 1,973,457.75/1,454.75
  6. Step 6: Final answer
    x = 1,356.56

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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.