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Finding the Fourth Proportional to 1,729.51, 2,593.35 and 754.47

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Solution

The fourth proportional to 1,729.51, 2,593.35 and 754.47 is: 1,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.51 : 2,593.35 = 754.47 : x
  2. Step 2: Convert to fraction form
    1,729.51/2,593.35 = 754.47/x
  3. Step 3: Cross multiply
    1,729.51x = 2,593.35 × 754.47
  4. Step 4: Simplify right side
    1,729.51x = 1,956,604.77
  5. Step 5: Solve for x
    x = 1,956,604.77/1,729.51
  6. Step 6: Final answer
    x = 1,131.31

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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.