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Finding the Fourth Proportional to 683.13, 1,023.17 and 528.22

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Solution

The fourth proportional to 683.13, 1,023.17 and 528.22 is: 791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.13 : 1,023.17 = 528.22 : x
  2. Step 2: Convert to fraction form
    683.13/1,023.17 = 528.22/x
  3. Step 3: Cross multiply
    683.13x = 1,023.17 × 528.22
  4. Step 4: Simplify right side
    683.13x = 540,453.74
  5. Step 5: Solve for x
    x = 540,453.74/683.13
  6. Step 6: Final answer
    x = 791.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.