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Finding the Fourth Proportional to 684.56, 1,026.62 and 222.25

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Solution

The fourth proportional to 684.56, 1,026.62 and 222.25 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.56 : 1,026.62 = 222.25 : x
  2. Step 2: Convert to fraction form
    684.56/1,026.62 = 222.25/x
  3. Step 3: Cross multiply
    684.56x = 1,026.62 × 222.25
  4. Step 4: Simplify right side
    684.56x = 228,162.62
  5. Step 5: Solve for x
    x = 228,162.62/684.56
  6. Step 6: Final answer
    x = 333.30

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1.5x scale

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.