Home / 1,455.14-2,181.98-725.12

Finding the Fourth Proportional to 1,455.14, 2,181.98 and 725.12

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Solution

The fourth proportional to 1,455.14, 2,181.98 and 725.12 is: 1,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.14 : 2,181.98 = 725.12 : x
  2. Step 2: Convert to fraction form
    1,455.14/2,181.98 = 725.12/x
  3. Step 3: Cross multiply
    1,455.14x = 2,181.98 × 725.12
  4. Step 4: Simplify right side
    1,455.14x = 1,582,197.34
  5. Step 5: Solve for x
    x = 1,582,197.34/1,455.14
  6. Step 6: Final answer
    x = 1,087.32

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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.