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Finding the Fourth Proportional to 499.74, 685.71 and 494.88

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Solution

The fourth proportional to 499.74, 685.71 and 494.88 is: 679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 685.71 = 494.88 : x
  2. Step 2: Convert to fraction form
    499.74/685.71 = 494.88/x
  3. Step 3: Cross multiply
    499.74x = 685.71 × 494.88
  4. Step 4: Simplify right side
    499.74x = 339,344.16
  5. Step 5: Solve for x
    x = 339,344.16/499.74
  6. Step 6: Final answer
    x = 679.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.