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Finding the Fourth Proportional to 471.46, 702.97 and 447.94

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Solution

The fourth proportional to 471.46, 702.97 and 447.94 is: 667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 702.97 = 447.94 : x
  2. Step 2: Convert to fraction form
    471.46/702.97 = 447.94/x
  3. Step 3: Cross multiply
    471.46x = 702.97 × 447.94
  4. Step 4: Simplify right side
    471.46x = 314,888.38
  5. Step 5: Solve for x
    x = 314,888.38/471.46
  6. Step 6: Final answer
    x = 667.90

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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.