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Finding the Fourth Proportional to 2,265.47, 3,398.21 and 622.27

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Solution

The fourth proportional to 2,265.47, 3,398.21 and 622.27 is: 933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.47 : 3,398.21 = 622.27 : x
  2. Step 2: Convert to fraction form
    2,265.47/3,398.21 = 622.27/x
  3. Step 3: Cross multiply
    2,265.47x = 3,398.21 × 622.27
  4. Step 4: Simplify right side
    2,265.47x = 2,114,591.99
  5. Step 5: Solve for x
    x = 2,114,591.99/2,265.47
  6. Step 6: Final answer
    x = 933.40

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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.