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Finding the Fourth Proportional to 683.51, 1,025.36 and 440.51

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Solution

The fourth proportional to 683.51, 1,025.36 and 440.51 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.51 : 1,025.36 = 440.51 : x
  2. Step 2: Convert to fraction form
    683.51/1,025.36 = 440.51/x
  3. Step 3: Cross multiply
    683.51x = 1,025.36 × 440.51
  4. Step 4: Simplify right side
    683.51x = 451,681.33
  5. Step 5: Solve for x
    x = 451,681.33/683.51
  6. Step 6: Final answer
    x = 660.83

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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.