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Finding the Fourth Proportional to 595.50, 821.75 and 329.94

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Solution

The fourth proportional to 595.50, 821.75 and 329.94 is: 455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 821.75 = 329.94 : x
  2. Step 2: Convert to fraction form
    595.50/821.75 = 329.94/x
  3. Step 3: Cross multiply
    595.50x = 821.75 × 329.94
  4. Step 4: Simplify right side
    595.50x = 271,126.55
  5. Step 5: Solve for x
    x = 271,126.55/595.50
  6. Step 6: Final answer
    x = 455.29

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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.