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Finding the Fourth Proportional to 626.79, 865.86 and 494.37

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Solution

The fourth proportional to 626.79, 865.86 and 494.37 is: 682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.79 : 865.86 = 494.37 : x
  2. Step 2: Convert to fraction form
    626.79/865.86 = 494.37/x
  3. Step 3: Cross multiply
    626.79x = 865.86 × 494.37
  4. Step 4: Simplify right side
    626.79x = 428,055.21
  5. Step 5: Solve for x
    x = 428,055.21/626.79
  6. Step 6: Final answer
    x = 682.93

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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.