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Finding the Fourth Proportional to 685.54, 1,028.32 and 411.50

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Solution

The fourth proportional to 685.54, 1,028.32 and 411.50 is: 617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.54 : 1,028.32 = 411.50 : x
  2. Step 2: Convert to fraction form
    685.54/1,028.32 = 411.50/x
  3. Step 3: Cross multiply
    685.54x = 1,028.32 × 411.50
  4. Step 4: Simplify right side
    685.54x = 423,153.68
  5. Step 5: Solve for x
    x = 423,153.68/685.54
  6. Step 6: Final answer
    x = 617.26

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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.