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Finding the Fourth Proportional to 684.05, 943.52 and 434.97

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Solution

The fourth proportional to 684.05, 943.52 and 434.97 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.05 : 943.52 = 434.97 : x
  2. Step 2: Convert to fraction form
    684.05/943.52 = 434.97/x
  3. Step 3: Cross multiply
    684.05x = 943.52 × 434.97
  4. Step 4: Simplify right side
    684.05x = 410,400.72
  5. Step 5: Solve for x
    x = 410,400.72/684.05
  6. Step 6: Final answer
    x = 599.96

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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.