Home / 1,149.60-1,724.67-419.16

Finding the Fourth Proportional to 1,149.60, 1,724.67 and 419.16

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Solution

The fourth proportional to 1,149.60, 1,724.67 and 419.16 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.60 : 1,724.67 = 419.16 : x
  2. Step 2: Convert to fraction form
    1,149.60/1,724.67 = 419.16/x
  3. Step 3: Cross multiply
    1,149.60x = 1,724.67 × 419.16
  4. Step 4: Simplify right side
    1,149.60x = 722,912.68
  5. Step 5: Solve for x
    x = 722,912.68/1,149.60
  6. Step 6: Final answer
    x = 628.84

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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.