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Finding the Fourth Proportional to 838.56, 1,157.76 and 539.94

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Solution

The fourth proportional to 838.56, 1,157.76 and 539.94 is: 745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,157.76 = 539.94 : x
  2. Step 2: Convert to fraction form
    838.56/1,157.76 = 539.94/x
  3. Step 3: Cross multiply
    838.56x = 1,157.76 × 539.94
  4. Step 4: Simplify right side
    838.56x = 625,120.93
  5. Step 5: Solve for x
    x = 625,120.93/838.56
  6. Step 6: Final answer
    x = 745.47

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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.