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Finding the Fourth Proportional to 535.94, 799.44 and 449.83

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Solution

The fourth proportional to 535.94, 799.44 and 449.83 is: 670.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.94 : 799.44 = 449.83 : x
  2. Step 2: Convert to fraction form
    535.94/799.44 = 449.83/x
  3. Step 3: Cross multiply
    535.94x = 799.44 × 449.83
  4. Step 4: Simplify right side
    535.94x = 359,612.10
  5. Step 5: Solve for x
    x = 359,612.10/535.94
  6. Step 6: Final answer
    x = 670.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.