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Finding the Fourth Proportional to 626.89, 864.62 and 584.98

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Solution

The fourth proportional to 626.89, 864.62 and 584.98 is: 806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.89 : 864.62 = 584.98 : x
  2. Step 2: Convert to fraction form
    626.89/864.62 = 584.98/x
  3. Step 3: Cross multiply
    626.89x = 864.62 × 584.98
  4. Step 4: Simplify right side
    626.89x = 505,778.16
  5. Step 5: Solve for x
    x = 505,778.16/626.89
  6. Step 6: Final answer
    x = 806.81

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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.