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Finding the Fourth Proportional to 476.33, 712.51 and 447.17

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Solution

The fourth proportional to 476.33, 712.51 and 447.17 is: 668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.33 : 712.51 = 447.17 : x
  2. Step 2: Convert to fraction form
    476.33/712.51 = 447.17/x
  3. Step 3: Cross multiply
    476.33x = 712.51 × 447.17
  4. Step 4: Simplify right side
    476.33x = 318,610.09
  5. Step 5: Solve for x
    x = 318,610.09/476.33
  6. Step 6: Final answer
    x = 668.89

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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.