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Finding the Fourth Proportional to 1,149.90, 1,725.30 and 419.55

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Solution

The fourth proportional to 1,149.90, 1,725.30 and 419.55 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.90 : 1,725.30 = 419.55 : x
  2. Step 2: Convert to fraction form
    1,149.90/1,725.30 = 419.55/x
  3. Step 3: Cross multiply
    1,149.90x = 1,725.30 × 419.55
  4. Step 4: Simplify right side
    1,149.90x = 723,849.62
  5. Step 5: Solve for x
    x = 723,849.62/1,149.90
  6. Step 6: Final answer
    x = 629.49

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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.