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Finding the Fourth Proportional to 484.08, 672.72 and 477.96

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Solution

The fourth proportional to 484.08, 672.72 and 477.96 is: 664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 672.72 = 477.96 : x
  2. Step 2: Convert to fraction form
    484.08/672.72 = 477.96/x
  3. Step 3: Cross multiply
    484.08x = 672.72 × 477.96
  4. Step 4: Simplify right side
    484.08x = 321,533.25
  5. Step 5: Solve for x
    x = 321,533.25/484.08
  6. Step 6: Final answer
    x = 664.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.