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Finding the Fourth Proportional to 965.06, 1,446.78 and 782

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Solution

The fourth proportional to 965.06, 1,446.78 and 782 is: 1,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.06 : 1,446.78 = 782 : x
  2. Step 2: Convert to fraction form
    965.06/1,446.78 = 782/x
  3. Step 3: Cross multiply
    965.06x = 1,446.78 × 782
  4. Step 4: Simplify right side
    965.06x = 1,131,381.96
  5. Step 5: Solve for x
    x = 1,131,381.96/965.06
  6. Step 6: Final answer
    x = 1,172.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.