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Finding the Fourth Proportional to 786.65, 1,179.96 and 422.15

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Solution

The fourth proportional to 786.65, 1,179.96 and 422.15 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.65 : 1,179.96 = 422.15 : x
  2. Step 2: Convert to fraction form
    786.65/1,179.96 = 422.15/x
  3. Step 3: Cross multiply
    786.65x = 1,179.96 × 422.15
  4. Step 4: Simplify right side
    786.65x = 498,120.11
  5. Step 5: Solve for x
    x = 498,120.11/786.65
  6. Step 6: Final answer
    x = 633.22

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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.