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Finding the Fourth Proportional to 1,010.97, 1,520.15 and 930.78

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Solution

The fourth proportional to 1,010.97, 1,520.15 and 930.78 is: 1,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.97 : 1,520.15 = 930.78 : x
  2. Step 2: Convert to fraction form
    1,010.97/1,520.15 = 930.78/x
  3. Step 3: Cross multiply
    1,010.97x = 1,520.15 × 930.78
  4. Step 4: Simplify right side
    1,010.97x = 1,414,920.56
  5. Step 5: Solve for x
    x = 1,414,920.56/1,010.97
  6. Step 6: Final answer
    x = 1,399.57

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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.