Home / 683.23-1,022.25-415.09

Finding the Fourth Proportional to 683.23, 1,022.25 and 415.09

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Solution

The fourth proportional to 683.23, 1,022.25 and 415.09 is: 621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.23 : 1,022.25 = 415.09 : x
  2. Step 2: Convert to fraction form
    683.23/1,022.25 = 415.09/x
  3. Step 3: Cross multiply
    683.23x = 1,022.25 × 415.09
  4. Step 4: Simplify right side
    683.23x = 424,325.75
  5. Step 5: Solve for x
    x = 424,325.75/683.23
  6. Step 6: Final answer
    x = 621.06

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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.