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Finding the Fourth Proportional to 2,955.55, 4,433.57 and 764.32

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Solution

The fourth proportional to 2,955.55, 4,433.57 and 764.32 is: 1,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.55 : 4,433.57 = 764.32 : x
  2. Step 2: Convert to fraction form
    2,955.55/4,433.57 = 764.32/x
  3. Step 3: Cross multiply
    2,955.55x = 4,433.57 × 764.32
  4. Step 4: Simplify right side
    2,955.55x = 3,388,666.22
  5. Step 5: Solve for x
    x = 3,388,666.22/2,955.55
  6. Step 6: Final answer
    x = 1,146.54

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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.