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Finding the Fourth Proportional to 683.42, 1,019.89 and 610.52

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Solution

The fourth proportional to 683.42, 1,019.89 and 610.52 is: 911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 1,019.89 = 610.52 : x
  2. Step 2: Convert to fraction form
    683.42/1,019.89 = 610.52/x
  3. Step 3: Cross multiply
    683.42x = 1,019.89 × 610.52
  4. Step 4: Simplify right side
    683.42x = 622,663.24
  5. Step 5: Solve for x
    x = 622,663.24/683.42
  6. Step 6: Final answer
    x = 911.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.