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Finding the Fourth Proportional to 533.48, 798.74 and 403.09

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Solution

The fourth proportional to 533.48, 798.74 and 403.09 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.48 : 798.74 = 403.09 : x
  2. Step 2: Convert to fraction form
    533.48/798.74 = 403.09/x
  3. Step 3: Cross multiply
    533.48x = 798.74 × 403.09
  4. Step 4: Simplify right side
    533.48x = 321,960.09
  5. Step 5: Solve for x
    x = 321,960.09/533.48
  6. Step 6: Final answer
    x = 603.51

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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.