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Finding the Fourth Proportional to 685.66, 1,028.92 and 361.26

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Solution

The fourth proportional to 685.66, 1,028.92 and 361.26 is: 542.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.66 : 1,028.92 = 361.26 : x
  2. Step 2: Convert to fraction form
    685.66/1,028.92 = 361.26/x
  3. Step 3: Cross multiply
    685.66x = 1,028.92 × 361.26
  4. Step 4: Simplify right side
    685.66x = 371,707.64
  5. Step 5: Solve for x
    x = 371,707.64/685.66
  6. Step 6: Final answer
    x = 542.12

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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.