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Finding the Fourth Proportional to 838.27, 1,157.34 and 539.65

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Solution

The fourth proportional to 838.27, 1,157.34 and 539.65 is: 745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.27 : 1,157.34 = 539.65 : x
  2. Step 2: Convert to fraction form
    838.27/1,157.34 = 539.65/x
  3. Step 3: Cross multiply
    838.27x = 1,157.34 × 539.65
  4. Step 4: Simplify right side
    838.27x = 624,558.53
  5. Step 5: Solve for x
    x = 624,558.53/838.27
  6. Step 6: Final answer
    x = 745.06

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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.