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Finding the Fourth Proportional to 683.90, 943.48 and 422.07

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Solution

The fourth proportional to 683.90, 943.48 and 422.07 is: 582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.90 : 943.48 = 422.07 : x
  2. Step 2: Convert to fraction form
    683.90/943.48 = 422.07/x
  3. Step 3: Cross multiply
    683.90x = 943.48 × 422.07
  4. Step 4: Simplify right side
    683.90x = 398,207.78
  5. Step 5: Solve for x
    x = 398,207.78/683.90
  6. Step 6: Final answer
    x = 582.26

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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.