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Finding the Fourth Proportional to 476.22, 712.35 and 447.06

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Solution

The fourth proportional to 476.22, 712.35 and 447.06 is: 668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 712.35 = 447.06 : x
  2. Step 2: Convert to fraction form
    476.22/712.35 = 447.06/x
  3. Step 3: Cross multiply
    476.22x = 712.35 × 447.06
  4. Step 4: Simplify right side
    476.22x = 318,457.95
  5. Step 5: Solve for x
    x = 318,457.95/476.22
  6. Step 6: Final answer
    x = 668.73

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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.