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Finding the Fourth Proportional to 1,012.33, 1,517.56 and 524.38

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Solution

The fourth proportional to 1,012.33, 1,517.56 and 524.38 is: 786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.33 : 1,517.56 = 524.38 : x
  2. Step 2: Convert to fraction form
    1,012.33/1,517.56 = 524.38/x
  3. Step 3: Cross multiply
    1,012.33x = 1,517.56 × 524.38
  4. Step 4: Simplify right side
    1,012.33x = 795,778.11
  5. Step 5: Solve for x
    x = 795,778.11/1,012.33
  6. Step 6: Final answer
    x = 786.09

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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.