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Finding the Fourth Proportional to 617.45, 850.63 and 430.60

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Solution

The fourth proportional to 617.45, 850.63 and 430.60 is: 593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.45 : 850.63 = 430.60 : x
  2. Step 2: Convert to fraction form
    617.45/850.63 = 430.60/x
  3. Step 3: Cross multiply
    617.45x = 850.63 × 430.60
  4. Step 4: Simplify right side
    617.45x = 366,279.13
  5. Step 5: Solve for x
    x = 366,279.13/617.45
  6. Step 6: Final answer
    x = 593.21

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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.