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Finding the Fourth Proportional to 714.56, 1,071.63 and 252.23

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Solution

The fourth proportional to 714.56, 1,071.63 and 252.23 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 1,071.63 = 252.23 : x
  2. Step 2: Convert to fraction form
    714.56/1,071.63 = 252.23/x
  3. Step 3: Cross multiply
    714.56x = 1,071.63 × 252.23
  4. Step 4: Simplify right side
    714.56x = 270,291.88
  5. Step 5: Solve for x
    x = 270,291.88/714.56
  6. Step 6: Final answer
    x = 378.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.