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Finding the Fourth Proportional to 1,629.73, 2,445 and 459.73

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Solution

The fourth proportional to 1,629.73, 2,445 and 459.73 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.73 : 2,445 = 459.73 : x
  2. Step 2: Convert to fraction form
    1,629.73/2,445 = 459.73/x
  3. Step 3: Cross multiply
    1,629.73x = 2,445 × 459.73
  4. Step 4: Simplify right side
    1,629.73x = 1,124,039.85
  5. Step 5: Solve for x
    x = 1,124,039.85/1,629.73
  6. Step 6: Final answer
    x = 689.71

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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.