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Finding the Fourth Proportional to 617.09, 851.46 and 420.80

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Solution

The fourth proportional to 617.09, 851.46 and 420.80 is: 580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 851.46 = 420.80 : x
  2. Step 2: Convert to fraction form
    617.09/851.46 = 420.80/x
  3. Step 3: Cross multiply
    617.09x = 851.46 × 420.80
  4. Step 4: Simplify right side
    617.09x = 358,294.37
  5. Step 5: Solve for x
    x = 358,294.37/617.09
  6. Step 6: Final answer
    x = 580.62

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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.