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Finding the Fourth Proportional to 483.96, 664.36 and 471.88

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Solution

The fourth proportional to 483.96, 664.36 and 471.88 is: 647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 664.36 = 471.88 : x
  2. Step 2: Convert to fraction form
    483.96/664.36 = 471.88/x
  3. Step 3: Cross multiply
    483.96x = 664.36 × 471.88
  4. Step 4: Simplify right side
    483.96x = 313,498.20
  5. Step 5: Solve for x
    x = 313,498.20/483.96
  6. Step 6: Final answer
    x = 647.78

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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.