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Finding the Fourth Proportional to 494.84, 683.64 and 329.00

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Solution

The fourth proportional to 494.84, 683.64 and 329.00 is: 454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.84 : 683.64 = 329.00 : x
  2. Step 2: Convert to fraction form
    494.84/683.64 = 329.00/x
  3. Step 3: Cross multiply
    494.84x = 683.64 × 329.00
  4. Step 4: Simplify right side
    494.84x = 224,914.14
  5. Step 5: Solve for x
    x = 224,914.14/494.84
  6. Step 6: Final answer
    x = 454.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.