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Finding the Fourth Proportional to 685.26, 1,028.03 and 360.32

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Solution

The fourth proportional to 685.26, 1,028.03 and 360.32 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,028.03 = 360.32 : x
  2. Step 2: Convert to fraction form
    685.26/1,028.03 = 360.32/x
  3. Step 3: Cross multiply
    685.26x = 1,028.03 × 360.32
  4. Step 4: Simplify right side
    685.26x = 370,412.83
  5. Step 5: Solve for x
    x = 370,412.83/685.26
  6. Step 6: Final answer
    x = 540.54

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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.