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Finding the Fourth Proportional to 452.64, 673.20 and 447.84

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Solution

The fourth proportional to 452.64, 673.20 and 447.84 is: 666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 673.20 = 447.84 : x
  2. Step 2: Convert to fraction form
    452.64/673.20 = 447.84/x
  3. Step 3: Cross multiply
    452.64x = 673.20 × 447.84
  4. Step 4: Simplify right side
    452.64x = 301,485.89
  5. Step 5: Solve for x
    x = 301,485.89/452.64
  6. Step 6: Final answer
    x = 666.06

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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.