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Finding the Fourth Proportional to 496.08, 680.64 and 483.84

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Solution

The fourth proportional to 496.08, 680.64 and 483.84 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 680.64 = 483.84 : x
  2. Step 2: Convert to fraction form
    496.08/680.64 = 483.84/x
  3. Step 3: Cross multiply
    496.08x = 680.64 × 483.84
  4. Step 4: Simplify right side
    496.08x = 329,320.86
  5. Step 5: Solve for x
    x = 329,320.86/496.08
  6. Step 6: Final answer
    x = 663.85

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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.