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Finding the Fourth Proportional to 483.99, 669.20 and 422.48

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Solution

The fourth proportional to 483.99, 669.20 and 422.48 is: 584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.99 : 669.20 = 422.48 : x
  2. Step 2: Convert to fraction form
    483.99/669.20 = 422.48/x
  3. Step 3: Cross multiply
    483.99x = 669.20 × 422.48
  4. Step 4: Simplify right side
    483.99x = 282,723.09
  5. Step 5: Solve for x
    x = 282,723.09/483.99
  6. Step 6: Final answer
    x = 584.15

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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.