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Finding the Fourth Proportional to 1,729.50, 2,593.93 and 559.45

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Solution

The fourth proportional to 1,729.50, 2,593.93 and 559.45 is: 839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.50 : 2,593.93 = 559.45 : x
  2. Step 2: Convert to fraction form
    1,729.50/2,593.93 = 559.45/x
  3. Step 3: Cross multiply
    1,729.50x = 2,593.93 × 559.45
  4. Step 4: Simplify right side
    1,729.50x = 1,451,174.14
  5. Step 5: Solve for x
    x = 1,451,174.14/1,729.50
  6. Step 6: Final answer
    x = 839.07

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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.