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Finding the Fourth Proportional to 683.57, 943.43 and 403.72

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Solution

The fourth proportional to 683.57, 943.43 and 403.72 is: 557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 943.43 = 403.72 : x
  2. Step 2: Convert to fraction form
    683.57/943.43 = 403.72/x
  3. Step 3: Cross multiply
    683.57x = 943.43 × 403.72
  4. Step 4: Simplify right side
    683.57x = 380,881.56
  5. Step 5: Solve for x
    x = 380,881.56/683.57
  6. Step 6: Final answer
    x = 557.19

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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.