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Finding the Fourth Proportional to 798.36, 1,101.84 and 449.16

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Solution

The fourth proportional to 798.36, 1,101.84 and 449.16 is: 619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.36 : 1,101.84 = 449.16 : x
  2. Step 2: Convert to fraction form
    798.36/1,101.84 = 449.16/x
  3. Step 3: Cross multiply
    798.36x = 1,101.84 × 449.16
  4. Step 4: Simplify right side
    798.36x = 494,902.45
  5. Step 5: Solve for x
    x = 494,902.45/798.36
  6. Step 6: Final answer
    x = 619.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.