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Finding the Fourth Proportional to 1,011.09, 1,515.09 and 680.81

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Solution

The fourth proportional to 1,011.09, 1,515.09 and 680.81 is: 1,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.09 : 1,515.09 = 680.81 : x
  2. Step 2: Convert to fraction form
    1,011.09/1,515.09 = 680.81/x
  3. Step 3: Cross multiply
    1,011.09x = 1,515.09 × 680.81
  4. Step 4: Simplify right side
    1,011.09x = 1,031,480.85
  5. Step 5: Solve for x
    x = 1,031,480.85/1,011.09
  6. Step 6: Final answer
    x = 1,020.17

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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.