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Finding the Fourth Proportional to 1,012.93, 1,519.18 and 282.31

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Solution

The fourth proportional to 1,012.93, 1,519.18 and 282.31 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.93 : 1,519.18 = 282.31 : x
  2. Step 2: Convert to fraction form
    1,012.93/1,519.18 = 282.31/x
  3. Step 3: Cross multiply
    1,012.93x = 1,519.18 × 282.31
  4. Step 4: Simplify right side
    1,012.93x = 428,879.71
  5. Step 5: Solve for x
    x = 428,879.71/1,012.93
  6. Step 6: Final answer
    x = 423.41

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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.