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Finding the Fourth Proportional to 1,010.76, 1,515.18 and 920.56

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Solution

The fourth proportional to 1,010.76, 1,515.18 and 920.56 is: 1,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.76 : 1,515.18 = 920.56 : x
  2. Step 2: Convert to fraction form
    1,010.76/1,515.18 = 920.56/x
  3. Step 3: Cross multiply
    1,010.76x = 1,515.18 × 920.56
  4. Step 4: Simplify right side
    1,010.76x = 1,394,814.10
  5. Step 5: Solve for x
    x = 1,394,814.10/1,010.76
  6. Step 6: Final answer
    x = 1,379.97

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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.