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Finding the Fourth Proportional to 535.03, 800.52 and 326.05

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Solution

The fourth proportional to 535.03, 800.52 and 326.05 is: 487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.03 : 800.52 = 326.05 : x
  2. Step 2: Convert to fraction form
    535.03/800.52 = 326.05/x
  3. Step 3: Cross multiply
    535.03x = 800.52 × 326.05
  4. Step 4: Simplify right side
    535.03x = 261,009.55
  5. Step 5: Solve for x
    x = 261,009.55/535.03
  6. Step 6: Final answer
    x = 487.84

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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.