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Finding the Fourth Proportional to 1,450.38, 2,001.52 and 829.38

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Solution

The fourth proportional to 1,450.38, 2,001.52 and 829.38 is: 1,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.38 : 2,001.52 = 829.38 : x
  2. Step 2: Convert to fraction form
    1,450.38/2,001.52 = 829.38/x
  3. Step 3: Cross multiply
    1,450.38x = 2,001.52 × 829.38
  4. Step 4: Simplify right side
    1,450.38x = 1,660,010.65
  5. Step 5: Solve for x
    x = 1,660,010.65/1,450.38
  6. Step 6: Final answer
    x = 1,144.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.