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Finding the Fourth Proportional to 814.14, 1,219.84 and 524.97

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Solution

The fourth proportional to 814.14, 1,219.84 and 524.97 is: 786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,219.84 = 524.97 : x
  2. Step 2: Convert to fraction form
    814.14/1,219.84 = 524.97/x
  3. Step 3: Cross multiply
    814.14x = 1,219.84 × 524.97
  4. Step 4: Simplify right side
    814.14x = 640,379.40
  5. Step 5: Solve for x
    x = 640,379.40/814.14
  6. Step 6: Final answer
    x = 786.57

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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.