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Finding the Fourth Proportional to 595.34, 821.58 and 329.79

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Solution

The fourth proportional to 595.34, 821.58 and 329.79 is: 455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 821.58 = 329.79 : x
  2. Step 2: Convert to fraction form
    595.34/821.58 = 329.79/x
  3. Step 3: Cross multiply
    595.34x = 821.58 × 329.79
  4. Step 4: Simplify right side
    595.34x = 270,947.63
  5. Step 5: Solve for x
    x = 270,947.63/595.34
  6. Step 6: Final answer
    x = 455.11

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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.