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Finding the Fourth Proportional to 2,277.22, 3,415.26 and 633.34

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Solution

The fourth proportional to 2,277.22, 3,415.26 and 633.34 is: 949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.22 : 3,415.26 = 633.34 : x
  2. Step 2: Convert to fraction form
    2,277.22/3,415.26 = 633.34/x
  3. Step 3: Cross multiply
    2,277.22x = 3,415.26 × 633.34
  4. Step 4: Simplify right side
    2,277.22x = 2,163,020.77
  5. Step 5: Solve for x
    x = 2,163,020.77/2,277.22
  6. Step 6: Final answer
    x = 949.85

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1.5x scale

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.