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Finding the Fourth Proportional to 617.64, 850.90 and 430.80

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Solution

The fourth proportional to 617.64, 850.90 and 430.80 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 850.90 = 430.80 : x
  2. Step 2: Convert to fraction form
    617.64/850.90 = 430.80/x
  3. Step 3: Cross multiply
    617.64x = 850.90 × 430.80
  4. Step 4: Simplify right side
    617.64x = 366,567.72
  5. Step 5: Solve for x
    x = 366,567.72/617.64
  6. Step 6: Final answer
    x = 593.50

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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.