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Finding the Fourth Proportional to 2,265.70, 3,398.33 and 622.49

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Solution

The fourth proportional to 2,265.70, 3,398.33 and 622.49 is: 933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.70 : 3,398.33 = 622.49 : x
  2. Step 2: Convert to fraction form
    2,265.70/3,398.33 = 622.49/x
  3. Step 3: Cross multiply
    2,265.70x = 3,398.33 × 622.49
  4. Step 4: Simplify right side
    2,265.70x = 2,115,426.44
  5. Step 5: Solve for x
    x = 2,115,426.44/2,265.70
  6. Step 6: Final answer
    x = 933.67

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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.