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Finding the Fourth Proportional to 595.16, 821.31 and 329.62

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Solution

The fourth proportional to 595.16, 821.31 and 329.62 is: 454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 821.31 = 329.62 : x
  2. Step 2: Convert to fraction form
    595.16/821.31 = 329.62/x
  3. Step 3: Cross multiply
    595.16x = 821.31 × 329.62
  4. Step 4: Simplify right side
    595.16x = 270,718.97
  5. Step 5: Solve for x
    x = 270,718.97/595.16
  6. Step 6: Final answer
    x = 454.87

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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.