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Finding the Fourth Proportional to 533.26, 798.45 and 417.09

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Solution

The fourth proportional to 533.26, 798.45 and 417.09 is: 624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 798.45 = 417.09 : x
  2. Step 2: Convert to fraction form
    533.26/798.45 = 417.09/x
  3. Step 3: Cross multiply
    533.26x = 798.45 × 417.09
  4. Step 4: Simplify right side
    533.26x = 333,025.51
  5. Step 5: Solve for x
    x = 333,025.51/533.26
  6. Step 6: Final answer
    x = 624.51

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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.