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Finding the Fourth Proportional to 714.06, 985.73 and 452.43

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Solution

The fourth proportional to 714.06, 985.73 and 452.43 is: 624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 985.73 = 452.43 : x
  2. Step 2: Convert to fraction form
    714.06/985.73 = 452.43/x
  3. Step 3: Cross multiply
    714.06x = 985.73 × 452.43
  4. Step 4: Simplify right side
    714.06x = 445,973.82
  5. Step 5: Solve for x
    x = 445,973.82/714.06
  6. Step 6: Final answer
    x = 624.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.