Home / 1,285.96-1,928.94-361.60

Finding the Fourth Proportional to 1,285.96, 1,928.94 and 361.60

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Solution

The fourth proportional to 1,285.96, 1,928.94 and 361.60 is: 542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.96 : 1,928.94 = 361.60 : x
  2. Step 2: Convert to fraction form
    1,285.96/1,928.94 = 361.60/x
  3. Step 3: Cross multiply
    1,285.96x = 1,928.94 × 361.60
  4. Step 4: Simplify right side
    1,285.96x = 697,504.70
  5. Step 5: Solve for x
    x = 697,504.70/1,285.96
  6. Step 6: Final answer
    x = 542.40

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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.