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Finding the Fourth Proportional to 684.22, 938.08 and 671.92

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Solution

The fourth proportional to 684.22, 938.08 and 671.92 is: 921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.22 : 938.08 = 671.92 : x
  2. Step 2: Convert to fraction form
    684.22/938.08 = 671.92/x
  3. Step 3: Cross multiply
    684.22x = 938.08 × 671.92
  4. Step 4: Simplify right side
    684.22x = 630,314.71
  5. Step 5: Solve for x
    x = 630,314.71/684.22
  6. Step 6: Final answer
    x = 921.22

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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.