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Finding the Fourth Proportional to 714.56, 984.97 and 537.27

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Solution

The fourth proportional to 714.56, 984.97 and 537.27 is: 740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 984.97 = 537.27 : x
  2. Step 2: Convert to fraction form
    714.56/984.97 = 537.27/x
  3. Step 3: Cross multiply
    714.56x = 984.97 × 537.27
  4. Step 4: Simplify right side
    714.56x = 529,194.83
  5. Step 5: Solve for x
    x = 529,194.83/714.56
  6. Step 6: Final answer
    x = 740.59

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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.