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Finding the Fourth Proportional to 619.70, 855.36 and 423.54

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Solution

The fourth proportional to 619.70, 855.36 and 423.54 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.70 : 855.36 = 423.54 : x
  2. Step 2: Convert to fraction form
    619.70/855.36 = 423.54/x
  3. Step 3: Cross multiply
    619.70x = 855.36 × 423.54
  4. Step 4: Simplify right side
    619.70x = 362,279.17
  5. Step 5: Solve for x
    x = 362,279.17/619.70
  6. Step 6: Final answer
    x = 584.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.