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Finding the Fourth Proportional to 814.32, 1,219.76 and 506.32

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Solution

The fourth proportional to 814.32, 1,219.76 and 506.32 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.32 : 1,219.76 = 506.32 : x
  2. Step 2: Convert to fraction form
    814.32/1,219.76 = 506.32/x
  3. Step 3: Cross multiply
    814.32x = 1,219.76 × 506.32
  4. Step 4: Simplify right side
    814.32x = 617,588.88
  5. Step 5: Solve for x
    x = 617,588.88/814.32
  6. Step 6: Final answer
    x = 758.41

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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.