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Finding the Fourth Proportional to 814.46, 1,219.66 and 553.50

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Solution

The fourth proportional to 814.46, 1,219.66 and 553.50 is: 828.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.46 : 1,219.66 = 553.50 : x
  2. Step 2: Convert to fraction form
    814.46/1,219.66 = 553.50/x
  3. Step 3: Cross multiply
    814.46x = 1,219.66 × 553.50
  4. Step 4: Simplify right side
    814.46x = 675,080.43
  5. Step 5: Solve for x
    x = 675,080.43/814.46
  6. Step 6: Final answer
    x = 828.87

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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.