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Finding the Fourth Proportional to 617.24, 850.84 and 420.41

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Solution

The fourth proportional to 617.24, 850.84 and 420.41 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.24 : 850.84 = 420.41 : x
  2. Step 2: Convert to fraction form
    617.24/850.84 = 420.41/x
  3. Step 3: Cross multiply
    617.24x = 850.84 × 420.41
  4. Step 4: Simplify right side
    617.24x = 357,702.72
  5. Step 5: Solve for x
    x = 357,702.72/617.24
  6. Step 6: Final answer
    x = 579.52

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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.