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Finding the Fourth Proportional to 1,190.08, 1,783.88 and 420

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Solution

The fourth proportional to 1,190.08, 1,783.88 and 420 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.08 : 1,783.88 = 420 : x
  2. Step 2: Convert to fraction form
    1,190.08/1,783.88 = 420/x
  3. Step 3: Cross multiply
    1,190.08x = 1,783.88 × 420
  4. Step 4: Simplify right side
    1,190.08x = 749,229.60
  5. Step 5: Solve for x
    x = 749,229.60/1,190.08
  6. Step 6: Final answer
    x = 629.56

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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.