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Finding the Fourth Proportional to 619.94, 855.62 and 421.17

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Solution

The fourth proportional to 619.94, 855.62 and 421.17 is: 581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.94 : 855.62 = 421.17 : x
  2. Step 2: Convert to fraction form
    619.94/855.62 = 421.17/x
  3. Step 3: Cross multiply
    619.94x = 855.62 × 421.17
  4. Step 4: Simplify right side
    619.94x = 360,359.37
  5. Step 5: Solve for x
    x = 360,359.37/619.94
  6. Step 6: Final answer
    x = 581.29

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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.