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Finding the Fourth Proportional to 683.62, 943.86 and 421.78

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Solution

The fourth proportional to 683.62, 943.86 and 421.78 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.62 : 943.86 = 421.78 : x
  2. Step 2: Convert to fraction form
    683.62/943.86 = 421.78/x
  3. Step 3: Cross multiply
    683.62x = 943.86 × 421.78
  4. Step 4: Simplify right side
    683.62x = 398,101.27
  5. Step 5: Solve for x
    x = 398,101.27/683.62
  6. Step 6: Final answer
    x = 582.34

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Half scale
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Double scale
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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.