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Finding the Fourth Proportional to 677.65, 1,016.26 and 190.72

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Solution

The fourth proportional to 677.65, 1,016.26 and 190.72 is: 286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.65 : 1,016.26 = 190.72 : x
  2. Step 2: Convert to fraction form
    677.65/1,016.26 = 190.72/x
  3. Step 3: Cross multiply
    677.65x = 1,016.26 × 190.72
  4. Step 4: Simplify right side
    677.65x = 193,821.11
  5. Step 5: Solve for x
    x = 193,821.11/677.65
  6. Step 6: Final answer
    x = 286.02

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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.