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Finding the Fourth Proportional to 500.84, 749.34 and 329

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Solution

The fourth proportional to 500.84, 749.34 and 329 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 749.34 = 329 : x
  2. Step 2: Convert to fraction form
    500.84/749.34 = 329/x
  3. Step 3: Cross multiply
    500.84x = 749.34 × 329
  4. Step 4: Simplify right side
    500.84x = 246,532.86
  5. Step 5: Solve for x
    x = 246,532.86/500.84
  6. Step 6: Final answer
    x = 492.24

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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.