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Finding the Fourth Proportional to 684.64, 943.80 and 451.36

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Solution

The fourth proportional to 684.64, 943.80 and 451.36 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 943.80 = 451.36 : x
  2. Step 2: Convert to fraction form
    684.64/943.80 = 451.36/x
  3. Step 3: Cross multiply
    684.64x = 943.80 × 451.36
  4. Step 4: Simplify right side
    684.64x = 425,993.57
  5. Step 5: Solve for x
    x = 425,993.57/684.64
  6. Step 6: Final answer
    x = 622.22

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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.