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Finding the Fourth Proportional to 684.35, 938.82 and 642.43

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Solution

The fourth proportional to 684.35, 938.82 and 642.43 is: 881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.35 : 938.82 = 642.43 : x
  2. Step 2: Convert to fraction form
    684.35/938.82 = 642.43/x
  3. Step 3: Cross multiply
    684.35x = 938.82 × 642.43
  4. Step 4: Simplify right side
    684.35x = 603,124.29
  5. Step 5: Solve for x
    x = 603,124.29/684.35
  6. Step 6: Final answer
    x = 881.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.