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Finding the Fourth Proportional to 684.26, 943.86 and 435.44

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Solution

The fourth proportional to 684.26, 943.86 and 435.44 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.26 : 943.86 = 435.44 : x
  2. Step 2: Convert to fraction form
    684.26/943.86 = 435.44/x
  3. Step 3: Cross multiply
    684.26x = 943.86 × 435.44
  4. Step 4: Simplify right side
    684.26x = 410,994.40
  5. Step 5: Solve for x
    x = 410,994.40/684.26
  6. Step 6: Final answer
    x = 600.64

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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.