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Finding the Fourth Proportional to 533.42, 798.90 and 442.29

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Solution

The fourth proportional to 533.42, 798.90 and 442.29 is: 662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.42 : 798.90 = 442.29 : x
  2. Step 2: Convert to fraction form
    533.42/798.90 = 442.29/x
  3. Step 3: Cross multiply
    533.42x = 798.90 × 442.29
  4. Step 4: Simplify right side
    533.42x = 353,346.82
  5. Step 5: Solve for x
    x = 353,346.82/533.42
  6. Step 6: Final answer
    x = 662.42

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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.