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Finding the Fourth Proportional to 595.54, 821.83 and 330.00

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Solution

The fourth proportional to 595.54, 821.83 and 330.00 is: 455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.54 : 821.83 = 330.00 : x
  2. Step 2: Convert to fraction form
    595.54/821.83 = 330.00/x
  3. Step 3: Cross multiply
    595.54x = 821.83 × 330.00
  4. Step 4: Simplify right side
    595.54x = 271,198.14
  5. Step 5: Solve for x
    x = 271,198.14/595.54
  6. Step 6: Final answer
    x = 455.39

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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.