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Finding the Fourth Proportional to 683.59, 943.32 and 418.47

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Solution

The fourth proportional to 683.59, 943.32 and 418.47 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 943.32 = 418.47 : x
  2. Step 2: Convert to fraction form
    683.59/943.32 = 418.47/x
  3. Step 3: Cross multiply
    683.59x = 943.32 × 418.47
  4. Step 4: Simplify right side
    683.59x = 394,751.12
  5. Step 5: Solve for x
    x = 394,751.12/683.59
  6. Step 6: Final answer
    x = 577.47

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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.