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Finding the Fourth Proportional to 684.45, 1,026.46 and 222.13

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Solution

The fourth proportional to 684.45, 1,026.46 and 222.13 is: 333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 1,026.46 = 222.13 : x
  2. Step 2: Convert to fraction form
    684.45/1,026.46 = 222.13/x
  3. Step 3: Cross multiply
    684.45x = 1,026.46 × 222.13
  4. Step 4: Simplify right side
    684.45x = 228,007.56
  5. Step 5: Solve for x
    x = 228,007.56/684.45
  6. Step 6: Final answer
    x = 333.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.