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Finding the Fourth Proportional to 484.96, 669.64 and 449.78

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Solution

The fourth proportional to 484.96, 669.64 and 449.78 is: 621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 669.64 = 449.78 : x
  2. Step 2: Convert to fraction form
    484.96/669.64 = 449.78/x
  3. Step 3: Cross multiply
    484.96x = 669.64 × 449.78
  4. Step 4: Simplify right side
    484.96x = 301,193.20
  5. Step 5: Solve for x
    x = 301,193.20/484.96
  6. Step 6: Final answer
    x = 621.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.