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Finding the Fourth Proportional to 482.76, 720.18 and 447.84

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Solution

The fourth proportional to 482.76, 720.18 and 447.84 is: 668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.76 : 720.18 = 447.84 : x
  2. Step 2: Convert to fraction form
    482.76/720.18 = 447.84/x
  3. Step 3: Cross multiply
    482.76x = 720.18 × 447.84
  4. Step 4: Simplify right side
    482.76x = 322,525.41
  5. Step 5: Solve for x
    x = 322,525.41/482.76
  6. Step 6: Final answer
    x = 668.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.