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Finding the Fourth Proportional to 496.89, 680.73 and 478.43

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Solution

The fourth proportional to 496.89, 680.73 and 478.43 is: 655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.89 : 680.73 = 478.43 : x
  2. Step 2: Convert to fraction form
    496.89/680.73 = 478.43/x
  3. Step 3: Cross multiply
    496.89x = 680.73 × 478.43
  4. Step 4: Simplify right side
    496.89x = 325,681.65
  5. Step 5: Solve for x
    x = 325,681.65/496.89
  6. Step 6: Final answer
    x = 655.44

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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.