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Finding the Fourth Proportional to 1,455.87, 2,181.87 and 725.25

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Solution

The fourth proportional to 1,455.87, 2,181.87 and 725.25 is: 1,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.87 : 2,181.87 = 725.25 : x
  2. Step 2: Convert to fraction form
    1,455.87/2,181.87 = 725.25/x
  3. Step 3: Cross multiply
    1,455.87x = 2,181.87 × 725.25
  4. Step 4: Simplify right side
    1,455.87x = 1,582,401.22
  5. Step 5: Solve for x
    x = 1,582,401.22/1,455.87
  6. Step 6: Final answer
    x = 1,086.91

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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.