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Finding the Fourth Proportional to 619.75, 855.91 and 421.46

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Solution

The fourth proportional to 619.75, 855.91 and 421.46 is: 582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.75 : 855.91 = 421.46 : x
  2. Step 2: Convert to fraction form
    619.75/855.91 = 421.46/x
  3. Step 3: Cross multiply
    619.75x = 855.91 × 421.46
  4. Step 4: Simplify right side
    619.75x = 360,731.83
  5. Step 5: Solve for x
    x = 360,731.83/619.75
  6. Step 6: Final answer
    x = 582.06

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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.