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Finding the Fourth Proportional to 680.27, 1,019.87 and 295.25

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Solution

The fourth proportional to 680.27, 1,019.87 and 295.25 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.27 : 1,019.87 = 295.25 : x
  2. Step 2: Convert to fraction form
    680.27/1,019.87 = 295.25/x
  3. Step 3: Cross multiply
    680.27x = 1,019.87 × 295.25
  4. Step 4: Simplify right side
    680.27x = 301,115.14
  5. Step 5: Solve for x
    x = 301,115.14/680.27
  6. Step 6: Final answer
    x = 442.64

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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.