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Finding the Fourth Proportional to 683.65, 942.68 and 517.55

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Solution

The fourth proportional to 683.65, 942.68 and 517.55 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 942.68 = 517.55 : x
  2. Step 2: Convert to fraction form
    683.65/942.68 = 517.55/x
  3. Step 3: Cross multiply
    683.65x = 942.68 × 517.55
  4. Step 4: Simplify right side
    683.65x = 487,887.68
  5. Step 5: Solve for x
    x = 487,887.68/683.65
  6. Step 6: Final answer
    x = 713.65

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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.