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Finding the Fourth Proportional to 1,429.37, 2,144.37 and 455.55

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Solution

The fourth proportional to 1,429.37, 2,144.37 and 455.55 is: 683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.37 : 2,144.37 = 455.55 : x
  2. Step 2: Convert to fraction form
    1,429.37/2,144.37 = 455.55/x
  3. Step 3: Cross multiply
    1,429.37x = 2,144.37 × 455.55
  4. Step 4: Simplify right side
    1,429.37x = 976,854.75
  5. Step 5: Solve for x
    x = 976,854.75/1,429.37
  6. Step 6: Final answer
    x = 683.42

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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.