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Finding the Fourth Proportional to 617.07, 850.19 and 420.33

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Solution

The fourth proportional to 617.07, 850.19 and 420.33 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.07 : 850.19 = 420.33 : x
  2. Step 2: Convert to fraction form
    617.07/850.19 = 420.33/x
  3. Step 3: Cross multiply
    617.07x = 850.19 × 420.33
  4. Step 4: Simplify right side
    617.07x = 357,358.26
  5. Step 5: Solve for x
    x = 357,358.26/617.07
  6. Step 6: Final answer
    x = 579.12

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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.