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Finding the Fourth Proportional to 683.22, 938.76 and 558.57

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Solution

The fourth proportional to 683.22, 938.76 and 558.57 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 938.76 = 558.57 : x
  2. Step 2: Convert to fraction form
    683.22/938.76 = 558.57/x
  3. Step 3: Cross multiply
    683.22x = 938.76 × 558.57
  4. Step 4: Simplify right side
    683.22x = 524,363.17
  5. Step 5: Solve for x
    x = 524,363.17/683.22
  6. Step 6: Final answer
    x = 767.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.