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Finding the Fourth Proportional to 535.09, 801.82 and 329.35

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Solution

The fourth proportional to 535.09, 801.82 and 329.35 is: 493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.09 : 801.82 = 329.35 : x
  2. Step 2: Convert to fraction form
    535.09/801.82 = 329.35/x
  3. Step 3: Cross multiply
    535.09x = 801.82 × 329.35
  4. Step 4: Simplify right side
    535.09x = 264,079.42
  5. Step 5: Solve for x
    x = 264,079.42/535.09
  6. Step 6: Final answer
    x = 493.52

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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.