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Finding the Fourth Proportional to 684.74, 945.12 and 422.98

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Solution

The fourth proportional to 684.74, 945.12 and 422.98 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 945.12 = 422.98 : x
  2. Step 2: Convert to fraction form
    684.74/945.12 = 422.98/x
  3. Step 3: Cross multiply
    684.74x = 945.12 × 422.98
  4. Step 4: Simplify right side
    684.74x = 399,766.86
  5. Step 5: Solve for x
    x = 399,766.86/684.74
  6. Step 6: Final answer
    x = 583.82

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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.