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Finding the Fourth Proportional to 683.77, 1,023.07 and 419.28

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Solution

The fourth proportional to 683.77, 1,023.07 and 419.28 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.77 : 1,023.07 = 419.28 : x
  2. Step 2: Convert to fraction form
    683.77/1,023.07 = 419.28/x
  3. Step 3: Cross multiply
    683.77x = 1,023.07 × 419.28
  4. Step 4: Simplify right side
    683.77x = 428,952.79
  5. Step 5: Solve for x
    x = 428,952.79/683.77
  6. Step 6: Final answer
    x = 627.33

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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.