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Finding the Fourth Proportional to 677.23, 1,015.23 and 244.29

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Solution

The fourth proportional to 677.23, 1,015.23 and 244.29 is: 366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.23 : 1,015.23 = 244.29 : x
  2. Step 2: Convert to fraction form
    677.23/1,015.23 = 244.29/x
  3. Step 3: Cross multiply
    677.23x = 1,015.23 × 244.29
  4. Step 4: Simplify right side
    677.23x = 248,010.54
  5. Step 5: Solve for x
    x = 248,010.54/677.23
  6. Step 6: Final answer
    x = 366.21

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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.