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Finding the Fourth Proportional to 617.75, 852.80 and 419.63

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Solution

The fourth proportional to 617.75, 852.80 and 419.63 is: 579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.75 : 852.80 = 419.63 : x
  2. Step 2: Convert to fraction form
    617.75/852.80 = 419.63/x
  3. Step 3: Cross multiply
    617.75x = 852.80 × 419.63
  4. Step 4: Simplify right side
    617.75x = 357,857.25
  5. Step 5: Solve for x
    x = 357,857.25/617.75
  6. Step 6: Final answer
    x = 579.29

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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.