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Finding the Fourth Proportional to 2,955.53, 4,433.27 and 764.30

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Solution

The fourth proportional to 2,955.53, 4,433.27 and 764.30 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.53 : 4,433.27 = 764.30 : x
  2. Step 2: Convert to fraction form
    2,955.53/4,433.27 = 764.30/x
  3. Step 3: Cross multiply
    2,955.53x = 4,433.27 × 764.30
  4. Step 4: Simplify right side
    2,955.53x = 3,388,322.27
  5. Step 5: Solve for x
    x = 3,388,322.27/2,955.53
  6. Step 6: Final answer
    x = 1,146.44

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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.