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Finding the Fourth Proportional to 1,729.82, 2,594.42 and 559.77

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Solution

The fourth proportional to 1,729.82, 2,594.42 and 559.77 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.82 : 2,594.42 = 559.77 : x
  2. Step 2: Convert to fraction form
    1,729.82/2,594.42 = 559.77/x
  3. Step 3: Cross multiply
    1,729.82x = 2,594.42 × 559.77
  4. Step 4: Simplify right side
    1,729.82x = 1,452,275.68
  5. Step 5: Solve for x
    x = 1,452,275.68/1,729.82
  6. Step 6: Final answer
    x = 839.56

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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.