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Finding the Fourth Proportional to 1,205.78, 1,809.23 and 426.37

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Solution

The fourth proportional to 1,205.78, 1,809.23 and 426.37 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.78 : 1,809.23 = 426.37 : x
  2. Step 2: Convert to fraction form
    1,205.78/1,809.23 = 426.37/x
  3. Step 3: Cross multiply
    1,205.78x = 1,809.23 × 426.37
  4. Step 4: Simplify right side
    1,205.78x = 771,395.27
  5. Step 5: Solve for x
    x = 771,395.27/1,205.78
  6. Step 6: Final answer
    x = 639.75

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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.