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Finding the Fourth Proportional to 684.90, 1,025.19 and 667.62

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Solution

The fourth proportional to 684.90, 1,025.19 and 667.62 is: 999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.90 : 1,025.19 = 667.62 : x
  2. Step 2: Convert to fraction form
    684.90/1,025.19 = 667.62/x
  3. Step 3: Cross multiply
    684.90x = 1,025.19 × 667.62
  4. Step 4: Simplify right side
    684.90x = 684,437.35
  5. Step 5: Solve for x
    x = 684,437.35/684.90
  6. Step 6: Final answer
    x = 999.32

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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.