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Finding the Fourth Proportional to 814.18, 1,219.20 and 448.55

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Solution

The fourth proportional to 814.18, 1,219.20 and 448.55 is: 671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.18 : 1,219.20 = 448.55 : x
  2. Step 2: Convert to fraction form
    814.18/1,219.20 = 448.55/x
  3. Step 3: Cross multiply
    814.18x = 1,219.20 × 448.55
  4. Step 4: Simplify right side
    814.18x = 546,872.16
  5. Step 5: Solve for x
    x = 546,872.16/814.18
  6. Step 6: Final answer
    x = 671.68

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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.