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Finding the Fourth Proportional to 1,633.51, 2,450.43 and 756.09

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Solution

The fourth proportional to 1,633.51, 2,450.43 and 756.09 is: 1,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.51 : 2,450.43 = 756.09 : x
  2. Step 2: Convert to fraction form
    1,633.51/2,450.43 = 756.09/x
  3. Step 3: Cross multiply
    1,633.51x = 2,450.43 × 756.09
  4. Step 4: Simplify right side
    1,633.51x = 1,852,733.37
  5. Step 5: Solve for x
    x = 1,852,733.37/1,633.51
  6. Step 6: Final answer
    x = 1,134.21

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1.5x scale

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.