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Finding the Fourth Proportional to 685.60, 1,027.14 and 361.18

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Solution

The fourth proportional to 685.60, 1,027.14 and 361.18 is: 541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.60 : 1,027.14 = 361.18 : x
  2. Step 2: Convert to fraction form
    685.60/1,027.14 = 361.18/x
  3. Step 3: Cross multiply
    685.60x = 1,027.14 × 361.18
  4. Step 4: Simplify right side
    685.60x = 370,982.43
  5. Step 5: Solve for x
    x = 370,982.43/685.60
  6. Step 6: Final answer
    x = 541.11

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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.