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Finding the Fourth Proportional to 533.40, 798.74 and 327.35

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Solution

The fourth proportional to 533.40, 798.74 and 327.35 is: 490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 798.74 = 327.35 : x
  2. Step 2: Convert to fraction form
    533.40/798.74 = 327.35/x
  3. Step 3: Cross multiply
    533.40x = 798.74 × 327.35
  4. Step 4: Simplify right side
    533.40x = 261,461.91
  5. Step 5: Solve for x
    x = 261,461.91/533.40
  6. Step 6: Final answer
    x = 490.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.