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Finding the Fourth Proportional to 641.32, 965.82 and 539.26

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Solution

The fourth proportional to 641.32, 965.82 and 539.26 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.32 : 965.82 = 539.26 : x
  2. Step 2: Convert to fraction form
    641.32/965.82 = 539.26/x
  3. Step 3: Cross multiply
    641.32x = 965.82 × 539.26
  4. Step 4: Simplify right side
    641.32x = 520,827.70
  5. Step 5: Solve for x
    x = 520,827.70/641.32
  6. Step 6: Final answer
    x = 812.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.