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Finding the Fourth Proportional to 533.69, 800.69 and 442.11

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Solution

The fourth proportional to 533.69, 800.69 and 442.11 is: 663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 800.69 = 442.11 : x
  2. Step 2: Convert to fraction form
    533.69/800.69 = 442.11/x
  3. Step 3: Cross multiply
    533.69x = 800.69 × 442.11
  4. Step 4: Simplify right side
    533.69x = 353,989.34
  5. Step 5: Solve for x
    x = 353,989.34/533.69
  6. Step 6: Final answer
    x = 663.29

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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.