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Finding the Fourth Proportional to 480.21, 718.29 and 449.43

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Solution

The fourth proportional to 480.21, 718.29 and 449.43 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.21 : 718.29 = 449.43 : x
  2. Step 2: Convert to fraction form
    480.21/718.29 = 449.43/x
  3. Step 3: Cross multiply
    480.21x = 718.29 × 449.43
  4. Step 4: Simplify right side
    480.21x = 322,821.07
  5. Step 5: Solve for x
    x = 322,821.07/480.21
  6. Step 6: Final answer
    x = 672.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.