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Finding the Fourth Proportional to 1,728.57, 2,593.31 and 496.08

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Solution

The fourth proportional to 1,728.57, 2,593.31 and 496.08 is: 744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.57 : 2,593.31 = 496.08 : x
  2. Step 2: Convert to fraction form
    1,728.57/2,593.31 = 496.08/x
  3. Step 3: Cross multiply
    1,728.57x = 2,593.31 × 496.08
  4. Step 4: Simplify right side
    1,728.57x = 1,286,486.74
  5. Step 5: Solve for x
    x = 1,286,486.74/1,728.57
  6. Step 6: Final answer
    x = 744.25

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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.