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Finding the Fourth Proportional to 1,012.53, 1,518.84 and 363.27

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Solution

The fourth proportional to 1,012.53, 1,518.84 and 363.27 is: 544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.53 : 1,518.84 = 363.27 : x
  2. Step 2: Convert to fraction form
    1,012.53/1,518.84 = 363.27/x
  3. Step 3: Cross multiply
    1,012.53x = 1,518.84 × 363.27
  4. Step 4: Simplify right side
    1,012.53x = 551,749.01
  5. Step 5: Solve for x
    x = 551,749.01/1,012.53
  6. Step 6: Final answer
    x = 544.92

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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.