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Finding the Fourth Proportional to 533.86, 799.88 and 403.18

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Solution

The fourth proportional to 533.86, 799.88 and 403.18 is: 604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.86 : 799.88 = 403.18 : x
  2. Step 2: Convert to fraction form
    533.86/799.88 = 403.18/x
  3. Step 3: Cross multiply
    533.86x = 799.88 × 403.18
  4. Step 4: Simplify right side
    533.86x = 322,491.60
  5. Step 5: Solve for x
    x = 322,491.60/533.86
  6. Step 6: Final answer
    x = 604.08

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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.