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Finding the Fourth Proportional to 684.06, 1,023.69 and 423.90

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Solution

The fourth proportional to 684.06, 1,023.69 and 423.90 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.06 : 1,023.69 = 423.90 : x
  2. Step 2: Convert to fraction form
    684.06/1,023.69 = 423.90/x
  3. Step 3: Cross multiply
    684.06x = 1,023.69 × 423.90
  4. Step 4: Simplify right side
    684.06x = 433,942.19
  5. Step 5: Solve for x
    x = 433,942.19/684.06
  6. Step 6: Final answer
    x = 634.36

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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.