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Finding the Fourth Proportional to 2,277.22, 3,415.23 and 633.39

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Solution

The fourth proportional to 2,277.22, 3,415.23 and 633.39 is: 949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.22 : 3,415.23 = 633.39 : x
  2. Step 2: Convert to fraction form
    2,277.22/3,415.23 = 633.39/x
  3. Step 3: Cross multiply
    2,277.22x = 3,415.23 × 633.39
  4. Step 4: Simplify right side
    2,277.22x = 2,163,172.53
  5. Step 5: Solve for x
    x = 2,163,172.53/2,277.22
  6. Step 6: Final answer
    x = 949.92

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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.