Home / 683.03-1,024.53-189.44

Finding the Fourth Proportional to 683.03, 1,024.53 and 189.44

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Solution

The fourth proportional to 683.03, 1,024.53 and 189.44 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.03 : 1,024.53 = 189.44 : x
  2. Step 2: Convert to fraction form
    683.03/1,024.53 = 189.44/x
  3. Step 3: Cross multiply
    683.03x = 1,024.53 × 189.44
  4. Step 4: Simplify right side
    683.03x = 194,081.84
  5. Step 5: Solve for x
    x = 194,081.84/683.03
  6. Step 6: Final answer
    x = 284.15

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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.