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Finding the Fourth Proportional to 496.39, 680.04 and 477.93

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Solution

The fourth proportional to 496.39, 680.04 and 477.93 is: 654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.39 : 680.04 = 477.93 : x
  2. Step 2: Convert to fraction form
    496.39/680.04 = 477.93/x
  3. Step 3: Cross multiply
    496.39x = 680.04 × 477.93
  4. Step 4: Simplify right side
    496.39x = 325,011.52
  5. Step 5: Solve for x
    x = 325,011.52/496.39
  6. Step 6: Final answer
    x = 654.75

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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.