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Finding the Fourth Proportional to 684.28, 943.70 and 451.36

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Solution

The fourth proportional to 684.28, 943.70 and 451.36 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 943.70 = 451.36 : x
  2. Step 2: Convert to fraction form
    684.28/943.70 = 451.36/x
  3. Step 3: Cross multiply
    684.28x = 943.70 × 451.36
  4. Step 4: Simplify right side
    684.28x = 425,948.43
  5. Step 5: Solve for x
    x = 425,948.43/684.28
  6. Step 6: Final answer
    x = 622.48

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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.