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Finding the Fourth Proportional to 1,012.43, 1,518.69 and 282.05

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Solution

The fourth proportional to 1,012.43, 1,518.69 and 282.05 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.43 : 1,518.69 = 282.05 : x
  2. Step 2: Convert to fraction form
    1,012.43/1,518.69 = 282.05/x
  3. Step 3: Cross multiply
    1,012.43x = 1,518.69 × 282.05
  4. Step 4: Simplify right side
    1,012.43x = 428,338.92
  5. Step 5: Solve for x
    x = 428,338.92/1,012.43
  6. Step 6: Final answer
    x = 423.08

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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.