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Finding the Fourth Proportional to 617.66, 850.91 and 430.82

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Solution

The fourth proportional to 617.66, 850.91 and 430.82 is: 593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 850.91 = 430.82 : x
  2. Step 2: Convert to fraction form
    617.66/850.91 = 430.82/x
  3. Step 3: Cross multiply
    617.66x = 850.91 × 430.82
  4. Step 4: Simplify right side
    617.66x = 366,585.83
  5. Step 5: Solve for x
    x = 366,585.83/617.66
  6. Step 6: Final answer
    x = 593.51

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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.