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Finding the Fourth Proportional to 684.56, 944.68 and 451.28

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Solution

The fourth proportional to 684.56, 944.68 and 451.28 is: 622.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 944.68 = 451.28 : x
  2. Step 2: Convert to fraction form
    684.56/944.68 = 451.28/x
  3. Step 3: Cross multiply
    684.56x = 944.68 × 451.28
  4. Step 4: Simplify right side
    684.56x = 426,315.19
  5. Step 5: Solve for x
    x = 426,315.19/684.56
  6. Step 6: Final answer
    x = 622.76

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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.