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Finding the Fourth Proportional to 814.76, 1,222.32 and 449.36

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Solution

The fourth proportional to 814.76, 1,222.32 and 449.36 is: 674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.76 : 1,222.32 = 449.36 : x
  2. Step 2: Convert to fraction form
    814.76/1,222.32 = 449.36/x
  3. Step 3: Cross multiply
    814.76x = 1,222.32 × 449.36
  4. Step 4: Simplify right side
    814.76x = 549,261.72
  5. Step 5: Solve for x
    x = 549,261.72/814.76
  6. Step 6: Final answer
    x = 674.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.