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Finding the Fourth Proportional to 683.42, 944.37 and 517.35

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Solution

The fourth proportional to 683.42, 944.37 and 517.35 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 944.37 = 517.35 : x
  2. Step 2: Convert to fraction form
    683.42/944.37 = 517.35/x
  3. Step 3: Cross multiply
    683.42x = 944.37 × 517.35
  4. Step 4: Simplify right side
    683.42x = 488,569.82
  5. Step 5: Solve for x
    x = 488,569.82/683.42
  6. Step 6: Final answer
    x = 714.89

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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.