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Finding the Fourth Proportional to 683.08, 941.08 and 449.80

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Solution

The fourth proportional to 683.08, 941.08 and 449.80 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.08 : 941.08 = 449.80 : x
  2. Step 2: Convert to fraction form
    683.08/941.08 = 449.80/x
  3. Step 3: Cross multiply
    683.08x = 941.08 × 449.80
  4. Step 4: Simplify right side
    683.08x = 423,297.78
  5. Step 5: Solve for x
    x = 423,297.78/683.08
  6. Step 6: Final answer
    x = 619.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.