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Finding the Fourth Proportional to 533.08, 800.54 and 480.24

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Solution

The fourth proportional to 533.08, 800.54 and 480.24 is: 721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.08 : 800.54 = 480.24 : x
  2. Step 2: Convert to fraction form
    533.08/800.54 = 480.24/x
  3. Step 3: Cross multiply
    533.08x = 800.54 × 480.24
  4. Step 4: Simplify right side
    533.08x = 384,451.33
  5. Step 5: Solve for x
    x = 384,451.33/533.08
  6. Step 6: Final answer
    x = 721.19

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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.