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Finding the Fourth Proportional to 471, 706.84 and 254.64

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Solution

The fourth proportional to 471, 706.84 and 254.64 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 706.84 = 254.64 : x
  2. Step 2: Convert to fraction form
    471/706.84 = 254.64/x
  3. Step 3: Cross multiply
    471x = 706.84 × 254.64
  4. Step 4: Simplify right side
    471x = 179,989.74
  5. Step 5: Solve for x
    x = 179,989.74/471
  6. Step 6: Final answer
    x = 382.14

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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.