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Finding the Fourth Proportional to 684.29, 938.20 and 671.96

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Solution

The fourth proportional to 684.29, 938.20 and 671.96 is: 921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.29 : 938.20 = 671.96 : x
  2. Step 2: Convert to fraction form
    684.29/938.20 = 671.96/x
  3. Step 3: Cross multiply
    684.29x = 938.20 × 671.96
  4. Step 4: Simplify right side
    684.29x = 630,432.87
  5. Step 5: Solve for x
    x = 630,432.87/684.29
  6. Step 6: Final answer
    x = 921.29

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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.