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Finding the Fourth Proportional to 683.42, 940.75 and 595.94

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Solution

The fourth proportional to 683.42, 940.75 and 595.94 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 940.75 = 595.94 : x
  2. Step 2: Convert to fraction form
    683.42/940.75 = 595.94/x
  3. Step 3: Cross multiply
    683.42x = 940.75 × 595.94
  4. Step 4: Simplify right side
    683.42x = 560,631.42
  5. Step 5: Solve for x
    x = 560,631.42/683.42
  6. Step 6: Final answer
    x = 820.33

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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.