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Finding the Fourth Proportional to 533.55, 799.31 and 313.64

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Solution

The fourth proportional to 533.55, 799.31 and 313.64 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 799.31 = 313.64 : x
  2. Step 2: Convert to fraction form
    533.55/799.31 = 313.64/x
  3. Step 3: Cross multiply
    533.55x = 799.31 × 313.64
  4. Step 4: Simplify right side
    533.55x = 250,690.02
  5. Step 5: Solve for x
    x = 250,690.02/533.55
  6. Step 6: Final answer
    x = 469.85

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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.