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Finding the Fourth Proportional to 476.98, 717.09 and 441.34

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Solution

The fourth proportional to 476.98, 717.09 and 441.34 is: 663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.98 : 717.09 = 441.34 : x
  2. Step 2: Convert to fraction form
    476.98/717.09 = 441.34/x
  3. Step 3: Cross multiply
    476.98x = 717.09 × 441.34
  4. Step 4: Simplify right side
    476.98x = 316,480.50
  5. Step 5: Solve for x
    x = 316,480.50/476.98
  6. Step 6: Final answer
    x = 663.51

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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.