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Finding the Fourth Proportional to 533.66, 799.74 and 447.53

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Solution

The fourth proportional to 533.66, 799.74 and 447.53 is: 670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.66 : 799.74 = 447.53 : x
  2. Step 2: Convert to fraction form
    533.66/799.74 = 447.53/x
  3. Step 3: Cross multiply
    533.66x = 799.74 × 447.53
  4. Step 4: Simplify right side
    533.66x = 357,903.64
  5. Step 5: Solve for x
    x = 357,903.64/533.66
  6. Step 6: Final answer
    x = 670.66

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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.