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Finding the Fourth Proportional to 683.16, 1,023.90 and 610.26

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Solution

The fourth proportional to 683.16, 1,023.90 and 610.26 is: 914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,023.90 = 610.26 : x
  2. Step 2: Convert to fraction form
    683.16/1,023.90 = 610.26/x
  3. Step 3: Cross multiply
    683.16x = 1,023.90 × 610.26
  4. Step 4: Simplify right side
    683.16x = 624,845.21
  5. Step 5: Solve for x
    x = 624,845.21/683.16
  6. Step 6: Final answer
    x = 914.64

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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.