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Finding the Fourth Proportional to 685.98, 1,028.07 and 439.16

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Solution

The fourth proportional to 685.98, 1,028.07 and 439.16 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.98 : 1,028.07 = 439.16 : x
  2. Step 2: Convert to fraction form
    685.98/1,028.07 = 439.16/x
  3. Step 3: Cross multiply
    685.98x = 1,028.07 × 439.16
  4. Step 4: Simplify right side
    685.98x = 451,482.08
  5. Step 5: Solve for x
    x = 451,482.08/685.98
  6. Step 6: Final answer
    x = 658.16

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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.