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Finding the Fourth Proportional to 476.34, 712.53 and 447.18

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Solution

The fourth proportional to 476.34, 712.53 and 447.18 is: 668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.34 : 712.53 = 447.18 : x
  2. Step 2: Convert to fraction form
    476.34/712.53 = 447.18/x
  3. Step 3: Cross multiply
    476.34x = 712.53 × 447.18
  4. Step 4: Simplify right side
    476.34x = 318,630.28
  5. Step 5: Solve for x
    x = 318,630.28/476.34
  6. Step 6: Final answer
    x = 668.91

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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.