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Finding the Fourth Proportional to 677.26, 1,015.71 and 190.34

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Solution

The fourth proportional to 677.26, 1,015.71 and 190.34 is: 285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.26 : 1,015.71 = 190.34 : x
  2. Step 2: Convert to fraction form
    677.26/1,015.71 = 190.34/x
  3. Step 3: Cross multiply
    677.26x = 1,015.71 × 190.34
  4. Step 4: Simplify right side
    677.26x = 193,329.29
  5. Step 5: Solve for x
    x = 193,329.29/677.26
  6. Step 6: Final answer
    x = 285.46

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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.