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Finding the Fourth Proportional to 965.53, 1,446.68 and 772.75

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Solution

The fourth proportional to 965.53, 1,446.68 and 772.75 is: 1,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.53 : 1,446.68 = 772.75 : x
  2. Step 2: Convert to fraction form
    965.53/1,446.68 = 772.75/x
  3. Step 3: Cross multiply
    965.53x = 1,446.68 × 772.75
  4. Step 4: Simplify right side
    965.53x = 1,117,918.11
  5. Step 5: Solve for x
    x = 1,117,918.11/965.53
  6. Step 6: Final answer
    x = 1,157.83

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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.