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Finding the Fourth Proportional to 683.84, 943.36 and 451.04

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Solution

The fourth proportional to 683.84, 943.36 and 451.04 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 943.36 = 451.04 : x
  2. Step 2: Convert to fraction form
    683.84/943.36 = 451.04/x
  3. Step 3: Cross multiply
    683.84x = 943.36 × 451.04
  4. Step 4: Simplify right side
    683.84x = 425,493.09
  5. Step 5: Solve for x
    x = 425,493.09/683.84
  6. Step 6: Final answer
    x = 622.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.