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Finding the Fourth Proportional to 684.39, 943.74 and 485.13

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Solution

The fourth proportional to 684.39, 943.74 and 485.13 is: 668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 943.74 = 485.13 : x
  2. Step 2: Convert to fraction form
    684.39/943.74 = 485.13/x
  3. Step 3: Cross multiply
    684.39x = 943.74 × 485.13
  4. Step 4: Simplify right side
    684.39x = 457,836.59
  5. Step 5: Solve for x
    x = 457,836.59/684.39
  6. Step 6: Final answer
    x = 668.97

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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.