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Finding the Fourth Proportional to 683.43, 942.75 and 403.62

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Solution

The fourth proportional to 683.43, 942.75 and 403.62 is: 556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.43 : 942.75 = 403.62 : x
  2. Step 2: Convert to fraction form
    683.43/942.75 = 403.62/x
  3. Step 3: Cross multiply
    683.43x = 942.75 × 403.62
  4. Step 4: Simplify right side
    683.43x = 380,512.76
  5. Step 5: Solve for x
    x = 380,512.76/683.43
  6. Step 6: Final answer
    x = 556.77

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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.