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Finding the Fourth Proportional to 684.28, 943.68 and 657.64

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Solution

The fourth proportional to 684.28, 943.68 and 657.64 is: 906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 943.68 = 657.64 : x
  2. Step 2: Convert to fraction form
    684.28/943.68 = 657.64/x
  3. Step 3: Cross multiply
    684.28x = 943.68 × 657.64
  4. Step 4: Simplify right side
    684.28x = 620,601.72
  5. Step 5: Solve for x
    x = 620,601.72/684.28
  6. Step 6: Final answer
    x = 906.94

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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.