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Finding the Fourth Proportional to 684.07, 1,025.88 and 196.99

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Solution

The fourth proportional to 684.07, 1,025.88 and 196.99 is: 295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.07 : 1,025.88 = 196.99 : x
  2. Step 2: Convert to fraction form
    684.07/1,025.88 = 196.99/x
  3. Step 3: Cross multiply
    684.07x = 1,025.88 × 196.99
  4. Step 4: Simplify right side
    684.07x = 202,088.10
  5. Step 5: Solve for x
    x = 202,088.10/684.07
  6. Step 6: Final answer
    x = 295.42

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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.