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Finding the Fourth Proportional to 1,253.25, 1,879.41 and 559.23

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Solution

The fourth proportional to 1,253.25, 1,879.41 and 559.23 is: 838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.25 : 1,879.41 = 559.23 : x
  2. Step 2: Convert to fraction form
    1,253.25/1,879.41 = 559.23/x
  3. Step 3: Cross multiply
    1,253.25x = 1,879.41 × 559.23
  4. Step 4: Simplify right side
    1,253.25x = 1,051,022.45
  5. Step 5: Solve for x
    x = 1,051,022.45/1,253.25
  6. Step 6: Final answer
    x = 838.64

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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.