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Finding the Fourth Proportional to 714.21, 985.62 and 411.44

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Solution

The fourth proportional to 714.21, 985.62 and 411.44 is: 567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.21 : 985.62 = 411.44 : x
  2. Step 2: Convert to fraction form
    714.21/985.62 = 411.44/x
  3. Step 3: Cross multiply
    714.21x = 985.62 × 411.44
  4. Step 4: Simplify right side
    714.21x = 405,518.56
  5. Step 5: Solve for x
    x = 405,518.56/714.21
  6. Step 6: Final answer
    x = 567.79

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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.