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Finding the Fourth Proportional to 683.73, 943.51 and 403.95

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Solution

The fourth proportional to 683.73, 943.51 and 403.95 is: 557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.73 : 943.51 = 403.95 : x
  2. Step 2: Convert to fraction form
    683.73/943.51 = 403.95/x
  3. Step 3: Cross multiply
    683.73x = 943.51 × 403.95
  4. Step 4: Simplify right side
    683.73x = 381,130.86
  5. Step 5: Solve for x
    x = 381,130.86/683.73
  6. Step 6: Final answer
    x = 557.43

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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.