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Finding the Fourth Proportional to 592.05, 816.94 and 330.05

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Solution

The fourth proportional to 592.05, 816.94 and 330.05 is: 455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.05 : 816.94 = 330.05 : x
  2. Step 2: Convert to fraction form
    592.05/816.94 = 330.05/x
  3. Step 3: Cross multiply
    592.05x = 816.94 × 330.05
  4. Step 4: Simplify right side
    592.05x = 269,630.44
  5. Step 5: Solve for x
    x = 269,630.44/592.05
  6. Step 6: Final answer
    x = 455.42

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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.